|UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C.  20549FORM 10-K                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
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|(Mark One)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             
|[X] ANNUAL REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
|For the fiscal year ended December 31, 2004                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
|OR                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     
|[ ] TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
|For the transition period from ______ to _______                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
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|Commission File No. 333-89800-05                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
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|HOUSEHOLD MORTGAGE LOAN TRUST 2004-HC1(Exact name of Registrant as specified in Department of the Treasury, Internal Revenue Service Form SS-4)HSBC FINANCE CORPORATION
(Servicer of the Trust)
(Exact name as specified in Servicer's charter)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
|DELAWARE(State or other jurisdiction of incorporation of Servicer)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     
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|2700 Sanders Road, Prospect Heights, Illinois  60070(Address of principal executive offices of Servicer)(847) 564-5000Servicer's telephone number, including area code                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 
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|Securities registered pursuant to section 12(b) of the Act:                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
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|Title of each class                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
|Closed-End Mortgage Loan Asset Backed Notes, 
Series 2004-HC1Class A Notes
Class M Notes                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
|Securities registered pursuant to section 12(g) of the Act:  None                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
|Indicate by check mark whether the Registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 during the preceding 12 months (or for such shorter period that the Registrant was required to file such reports), and (2) has been subject to such filing requirements for the past                 Yes  [ X ]   No [    ]
Indicate by check mark if disclosure of delinquent filers pursuant to Item 405 of Regulation S-K is not contained herein, and will not be contained, to the best of registrant's knowledge, in definitive proxy or information statements incorporated by reference in Part III of this Form 10-K or any amendment to this Form 10-K.  [X]
Indicate by check mark whether the registrant is an accelerated filer (as defined in Rule 12b-2 of the Act).  Yes [   ]  No [X]
Registrant has no voting or non-voting class common equity outstanding as of the date of this report.

|INTRODUCTORY NOTE                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             
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|Household Mortgage Funding Corporation III is the depositor (the "Depositor") under the Sale and Servicing Agreement dated as of August 27, 2004 (the "Sale and Servicing Agreement"), by and among the Depositor, Household Mortgage Loan Trust 2004-HC1 (the "Trust"), HSBC Finance Corporation, successor by merger to Household Finance Corporation as Master Servicer (the "Master Servicer"), U.S. Bank National Association, as Indenture Trustee (the "Trustee") and HSBC Bank USA, National Association, as Administrator (the "Administrator"),. The Trust is the issuer of Closed-End Mortgage Loan Asset Backed Notes, Series 2004-HC1, Class A and Class M (the "Notes").                        
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|The Notes consist of two classes of notes.  As of December 31, 2004, the outstanding principal balance of the Notes was approximately $557,993,179 and the receivables held by the Trust had an aggregate outstanding principal balance of approximately $624,402,719. No reserve account is held for the benefit of the Noteholders.  The Master Servicer has prepared this Form 10-K on behalf of the Registrant in reliance upon various no-action letters issued by the Securities and Exchange Commission (the "Commission") to other trusts substantially similar to the Trust.  Items designated herein as "Not Applicable" have been omitted as a result of this reliance.                            
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|PART I                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
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|Item 1.	Business.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
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|Item 2.	Properties.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
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|Item 3.	Legal Proceedings.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
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|The Master Servicer is not aware of any material pending legal proceedings involving either the Registrant, the Trustee, the Depositor, the Administrator or the Master Servicer with respect to the Notes or the Registrant's property.                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
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|Item 4.	Submission of Matters to a Vote of Security Holders.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  
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|No vote or consent of the holders of the Notes (the "Noteholders") was solicited for any purpose during the year ended December 31, 2004.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     
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|PART II                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
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|Item 5.	Market for Registrant's Common Equity and Related Stockholder Matters and Issuer Purchases of Equity Securities.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
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|To the best knowledge of the Master Servicer, there is no established public trading market for the Notes. As of March 24, 2005, there were less than 300 holders of record of each Class of Notes.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
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|Item 6.	Selected Financial Data.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
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|Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
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|Item 7.	Management's Discussion and Analysis of Financial Condition and Results of Operations.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
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|Item 7A.  Quantitative and Qualitative Disclosures About Market Risk.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
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|Item 8.	Financial Statements and Supplementary Data.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|Item 9.	Changes in and Disagreements with Accountants on Accounting and Financial Disclosure.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|None.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|Item 9A.  Controls and Procedures.
Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|Item 9B.  Other Information.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
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|PART III                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
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|Item 10.  Directors and Executive Officers of the Registrant.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
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|Item 11.  Executive Compensation.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
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|Item 12.  Security Ownership of Certain Beneficial Owners and Management.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     
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|The following table sets forth (i) the name and address of each entity owning more than 5% of the outstanding principal amount of the Class A Notes or Class M Notes; (ii) the principal amount of Notes owned by each, if known, and (iii) the percent that the principal amount of Notes owned represents of the outstanding principal amount of the Class A Notes and Class M Notes.  The information set forth in the table is based upon information obtained by the Master Servicer from the Trustee and from The Depository Trust Company as of March 9, 2005.  The Master Servicer is not aware of any Schedules 13D or 13G filed with the Securities and Exchange Commission in respect of the Notes.



|                                                                                                                  | Amount OwnedAll dollar amounts are in thousands
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|Name and Address                                                                                                  | Principal                                      
|                                                                                                                  |                                                
|Series 2004-HC1 Class A-1 Noteholders                                                                             |                                                
|                                                                                                                  |                                                
|JPMorgan Chase Bank
Proxy/Class Action/Bankruptcy
14201 Dallas Parkway
Dallas, TX 75254                           | $178,571                                       
|State Street Bank and Trust Company
Global Corporate Action Unit JAB 5NW
1776 Heritage Drive
No. Quincy, MA 02171 | $45,020                                        
|The Bank of New York
One Wall Street
New York, NY  10286                                                          | $37,840                                        
|Investors Bank  & Trust Company
200 Clarendon Street, 9th Floor
Corporate Actions Unit / Top 57
Boston, MA  02116 | $27,000                                        
|Citigroup Global Markets Inc. / Salomon
333 W. 34th Street, 3rd Floor
New York, NY  10001                         | $27,420                                        
|UBS AG
677 Washington Blvd.
Stamford, CT  06901                                                                   | $61,000                                        
|Mellon Trust of New England, National Association
525 William Penn Place, Suite 3428
Pittsburgh, PA  15359        | $102,000                                       



|                                                                                                                                                                                                                                                                                                                                                                                                                        | Amount OwnedAll dollar amounts are in thousands                      
|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ---------------------------------------------------------------------
|Name and Address                                                                                                                                                                                                                                                                                                                                                                                                        | Principal                                                            
|                                                                                                                                                                                                                                                                                                                                                                                                                        |                                                                      
|Series 2004-HC1 Class M Noteholders                                                                                                                                                                                                                                                                                                                                                                                     |                                                                      
|                                                                                                                                                                                                                                                                                                                                                                                                                        |                                                                      
|State Street Bank and Trust Company
Global Corporate Action Unit JAB 5NW
1776 Heritage Drive
No. Quincy, MA 02171                                                                                                                                                                                                                                                                                                       | $43,910                                                              
|UBS Securities LLC/CMO
299 Park Avenue
New York, NY  10171                                                                                                                                                                                                                                                                                                                                                              | $72,000                                                              
|JPMorgan Chase Bank
Proxy/Class Action/Bankruptcy
14201 Dallas Parkway
Dallas, TX 75254                                                                                                                                                                                                                                                                                                                                 | $21,435                                                              
|Citigroup Global Markets Inc. / Salomon
333 W. 34th Street, 3rd Floor
New York, NY  10001                                                                                                                                                                                                                                                                                                                               | $15,000                                                              
|Mellon Trust of New England, N.A.
525 William Penn Place, Suite 3428
Pittsburgh, PA  15359                                                                                                                                                                                                                                                                                                                              | $32,500                                                              
|JPM/PRUDEN
Participant information unavailable
Contact The Depository Trust Company                                                                                                                                                                                                                                                                                                                                     | $22,143                                                              
|Item 13.  Certain Relationships and Related Transactions.                                                                                                                                                                                                                                                                                                                                                              
|                                                                                                                                                                                                                                                                                                                                                                                                                       
|Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                        
|                                                                                                                                                                                                                                                                                                                                                                                                                       
|Item 14.  Principal Accountant Fees and Services.                                                                                                                                                                                                                                                                                                                                                                      
|                                                                                                                                                                                                                                                                                                                                                                                                                       
|Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                        
|                                                                                                                                                                                                                                                                                                                                                                                                                       
|PART IV                                                                                                                                                                                                                                                                                                                                                                                                                
|                                                                                                                                                                                                                                                                                                                                                                                                                       
|Item 15.  Exhibits and Financial Statement Schedules.                                                                                                                                                                                                                                                                                                                                                                  
|                                                                                                                                                                                                                                                                                                                                                                                                                       
|(a) (1)  Financial Statements.                                                                                                                                                                                                                                                                                                                                                                                         
|                                                                                                                                                                                                                                                                                                                                                                                                                       
|Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                        
|                                                                                                                                                                                                                                                                                                                                                                                                                       
|(a) (2)	Not Applicable.                                                                                                                                                                                                                                                                                                                                                                                                
|                                                                                                                                                                                                                                                                                                                                                                                                                       
|(a) (3)  The Master Servicer is obligated to prepare an Annual Statement to Noteholders for the year ended December 31, 2004, and Independent Public Accountants are required to prepare an annual servicing report pertaining to the compliance of the Master Servicer with its servicing obligations pursuant to the Sale and Servicing Agreement.  Copies of said documents are filed as exhibits to this Form 10-K.
|                                                                                                                                                                                                                                                                                                                                                                                                                       
|The exhibits required by Item 601 of Regulation S-K (Section 229.601):                                                                                                                                                                                                                                                                                                                                                 
|                                                                                                                                                                                                                                                                                                                                                                                                                       
|Exhibit 99(a)                                                                                                                                                                                                                                                                                                                                                                                                           | Annual Statement to Noteholders for the year ended December 31, 2004.
|Exhibit 99(b)                                                                                                                                                                                                                                                                                                                                                                                                           | Independent Accountants' Report dated March 1, 2005.                 
|Exhibit 99(c)                                                                                                                                                                                                                                                                                                                                                                                                           | Annual Statement as to Compliance dated March 1, 2005.               
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|SIGNATURES                                                                                                                                                                                                                                                     
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|Pursuant to the requirements of Section 13 or 15(d) of the Securities Exchange Act of 1934, the Master Servicer has duly caused this report to be signed on behalf of the Household Mortgage Loan Trust 2004-HC1 by the undersigned, thereunto duly authorized.
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|Dated:  March 24, 2005                                                                                                                                                                                                                                         





Certification

I, Edgar D. Ancona, certify that:

1. I have reviewed this annual report on Form 10-K, and all reports on Form 8-K containing distribution or servicing reports filed in respect of periods included in the year covered by this annual report, of Household Mortgage Loan Trust 2004-HC1;
2. Based on my knowledge, the information in these reports, taken as a whole, does not contain any untrue statement of a material fact or omit to state a material fact necessary to make the statements made, in light of the circumstances under which such statements were made, not misleading as of the last day of the period covered by this annual report;
3. Based on my knowledge, the distribution or servicing information required to be provided to the trustee by the servicer under the pooling and servicing, or similar, agreement for inclusion in these reports is included in these reports;
4. I am responsible for reviewing the activities performed by the servicer under the pooling and servicing, or similar, agreement and based upon my knowledge and the annual compliance review required under that agreement, and except as disclosed in the reports, the servicer has fulfilled its obligations under that agreement; and
5. The reports disclose all significant deficiencies relating to the servicer's compliance with the minimum servicing standards based upon the report provided by an independent public accountant, after conducting a review in compliance with the Uniform Single Attestation Program for Mortgage Bankers or similar procedure, as set forth in the pooling and servicing, or similar, agreement, that is included in these reports.

In giving the certifications above, I have reasonably relied on information provided to me by the following unaffiliated parties: U.S. Bank National Association, HSBC Bank USA, National Association and The Depository Trust Company.



Date:  March 24, 2005



/s/ Edgar D. Ancona

Edgar D. Ancona

Senior Vice President - Treasurer





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|------------------------- | ------------------------------------------------------------------------------
|Exhibit Index            
|                         
|Exhibit No.
Exhibit 99(a) | Exhibit	
Annual Statement to Noteholders for the year ended December 31, 2004.
|Exhibit 99(b)             | Independent Accountants' Report dated March 1, 2005.                          
|Exhibit 99(c)             | Annual Statement as to Compliance dated March 1, 2005.