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                          SECOND SUPPLEMENTAL INDENTURE

SECOND SUPPLEMENTAL INDENTURE (this "Supplemental Indenture"), dated as of
October 29, 2003, among ALAMOSA HOLDINGS, INC., a Delaware corporation
("Parent"), ALAMOSA (DELAWARE), INC., a Delaware corporation and an indirect,
wholly-owned subsidiary of Parent (the "Company"), the SUBSIDIARY GUARANTORS
party hereto (the "Subsidiary Guarantors") and WELLS FARGO BANK MINNESOTA, N.A.,
a national banking association, as trustee (the "Trustee") under the Indenture
(as defined below).

         W I T N E S S E T H:

         WHEREAS, the Company, Parent and the Subsidiary Guarantors have
heretofore executed and delivered to the Trustee the Indenture, dated as of
August 15, 2001, among the Company, the Subsidiary Guarantors and the Trustee,
as supplemented by the First Supplemental Indenture, dated as of September 11,
2003 (as so supplemented, the "Indenture"), relating to $150,000,000 aggregate
principal amount of the Company's 13 5/8% Senior Notes due 2011 (the "Notes");
and

         WHEREAS, the parties to the Indenture desire to amend certain
provisions of the Indenture, as described below; and

         WHEREAS, the parties desire that the amendments to the Indenture set
forth in this Supplemental Indenture shall become effective only upon the
consummation of the Exchange Offers (as defined in the Combined Offering
Circular, Consent Solicitation and Disclosure Statement Soliciting Acceptances
of a Prepackaged Plan of Reorganization of the Company and Parent, dated as of
September 12, 2003, as amended on October 15, 2003); and

         WHEREAS, pursuant to Section 9.02 of the Indenture, the Trustee, the
Company, Parent and the Subsidiary Guarantors are authorized to execute and
deliver this Supplemental Indenture;

         NOW THEREFORE, in consideration of the foregoing and for other good and
valuable consideration, the receipt of which is hereby acknowledged, and subject
to the consummation of the Exchange Offers, the Company, Parent, the Subsidiary
Guarantors and the Trustee mutually covenant and agree for the equal and ratable
benefit of the holders of the Notes as follows:

         1.   Debt. Section 1.01 of the Indenture is hereby amended so that the
              definition of "Debt" shall read in its entirety as set forth
              below:

         ""Debt" means, with respect to any Person on any date of determination
(without duplication):

         (a) the principal of and premium (if any) in respect of:


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                   (1) debt of such Person for money borrowed, and

                   (2) debt evidenced by Securities, debentures, bonds or other
              similar instruments for the payment of which such Person is
              responsible or liable;

              (b) all Capital Lease Obligations of such Person and all
         Attributable Debt in respect of Sale and Leaseback Transactions entered
         into by such Person;

              (c) all obligations of such Person issued or assumed as the
         deferred purchase price of Property, all conditional sale obligations
         of such Person and all obligations of such Person under any title
         retention agreement (but excluding trade accounts payable arising in
         the ordinary course of business);

              (d) all obligations of such Person for the reimbursement of any
         obligor on any letter of credit, banker's acceptance or similar credit
         transaction (other than obligations with respect to letters of credit
         securing obligations (other than obligations described in (a) through
         (c) above) entered into in the ordinary course of business of such
         Person to the extent such letters of credit are not drawn upon or, if
         and to the extent drawn upon, such drawing is reimbursed no later than
         the third Business Day following receipt by such Person of a demand for
         reimbursement following payment on the letter of credit);

              (e) the amount of all obligations of such Person with respect to
         the Repayment of any Disqualified Stock or, with respect to any
         Subsidiary of such Person, any Preferred Stock (but excluding, in each
         case, any accrued dividends);

              (f) all obligations of the type referred to in clauses (a) through
         (e) of other Persons and all dividends of other Persons for the payment
         of which, in either case, such Person is responsible or liable,
         directly or indirectly, as obligor, guarantor or otherwise, including
         by means of any Guarantee;

              (g) all obligations of the type referred to in clauses (a) through
         (f) of other Persons secured by any Lien on any Property of such Person
         (whether or not such obligation is assumed by such Person), the amount
         of such obligation being deemed to be the lesser of the value of such
         Property or the amount of the obligation so secured; and

              (h) to the extent not otherwise included in this definition,
         Hedging Obligations of such Person.

The amount of Debt of any Person at any date shall be the outstanding balance at
such date of all unconditional obligations as described above and the maximum
liability, upon the occurrence of the contingency giving rise to the obligation,
of any contingent obligations at such date. The amount of Debt represented by a
Hedging Obligation shall be equal to the notional amount of such Hedging
Obligation."

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         2.   Exchange Offers. Section 1.01 of the Indenture is hereby amended
              to add the following definition:

         ""Exchange Offers" has the meaning assigned to such term in the
Combined Offering Circular, Consent Solicitation and Disclosure Statement
Soliciting Acceptances of a Prepackaged Plan of Reorganization of the Company
and Parent, dated as of September 12, 2003, as amended or supplemented from time
to time."

         3.   Permitted Investment. Section 1.01 of the Indenture is hereby
              amended so that the definition of "Permitted Investment" shall
              read in its entirety as set forth below:

         ""Permitted Investment" means any Investment by the Company or a
Restricted Subsidiary in:

              (a) the Company or any Restricted Subsidiary or any Person that
         will, upon the making of such Investment, become a Restricted
         Subsidiary;

              (b) any Person if as a result of such Investment such Person is
         merged or consolidated with or into, or transfers or conveys all or
         substantially all its Property to, the Company or a Restricted
         Subsidiary, provided that such Person's primary business is a
         Telecommunications Business;

              (c) Temporary Cash Investments;

              (d) receivables owing to the Company or a Restricted Subsidiary,
         if created or acquired in the ordinary course of business and payable
         or dischargeable in accordance with customary trade terms; provided,
         however, that such trade terms may include such concessionary trade
         terms as the Company or such Restricted Subsidiary deems reasonable
         under the circumstances;

              (e) payroll, travel and similar advances to cover matters that are
         expected at the time of such advances ultimately to be treated as
         expenses for accounting purposes and that are made in the ordinary
         course of business;

              (f) loans and advances to employees made in the ordinary course of
         business consistent with past practices of the Company or such
         Restricted Subsidiary, as the case may be, provided that such loans and
         advances do not exceed $3 million at any one time outstanding;

              (g) stock, obligations or other securities received in settlement
         of debts created in the ordinary course of business and owing to the
         Company or a Restricted Subsidiary or in satisfaction of judgments; and

              (h) Hedging Obligations."


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         4.   Senior Discount Notes. Section 1.01 of the Indenture is hereby
              amended so that the definition of "Senior Discount Notes" shall
              read in its entirety as set forth below:

         ""Senior Discount Notes" means, collectively, the 12-7/8% Senior
Discount Notes due 2010 of the Company issued pursuant to the Indenture, dated
as of February 8, 2000, between the Company and Wells Fargo Bank Minnesota, N.A.
as Trustee, as such Indenture may be amended or supplemented from time to time,
and the 12.0% Senior Discount Notes due 2009 of the Company issued pursuant to
the Indenture, dated as of the consummation of the Exchange Offers, between the
Company, the Subsidiary Guarantors party thereto, Parent and Wells Fargo Bank
Minnesota, N.A. as Trustee, as such Indenture may be amended or supplemented
from time to time."

         5.   Senior Notes. Section 1.01 of the Indenture is hereby amended so
              that the definition of "Senior Notes" shall read in its entirety
              as set forth below:

         ""Senior Notes" means, collectively, the 12-1/2% Senior Notes due 2011
of the Company issued pursuant to the Indenture, dated as of January 31, 2001,
between the Company and Wells Fargo Bank Minnesota, N.A. as Trustee, as such
Indenture may be amended or supplemented from time to time, and the 11.0% Senior
Notes due 2010 of the Company issued pursuant to the Indenture, dated as of the
consummation of the Exchange Offers, between the Company, the Subsidiary
Guarantors party thereto, Parent and Wells Fargo Bank Minnesota, N.A. as
Trustee, as such Indenture may be amended or supplemented from time to time."

         6.   Subsidiary Guarantor. Section 1.01 of the Indenture is hereby
              amended so that the definition of "Subsidiary Guarantor" shall
              read in its entirety as set forth below:

         ""Subsidiary Guarantor" means each of the Persons listed on Schedule I
hereto and any other Person that in the future executes a supplemental indenture
in which it agrees to be bound by the terms of this Indenture as a Subsidiary
Guarantor."

         7.   Unrestricted Subsidiary. Section 1.01 of the Indenture is hereby
              amended so that the definition of "Unrestricted Subsidiary" shall
              read in its entirety as set forth below:

         ""Unrestricted Subsidiary" means:

                   (a) any Subsidiary of the Company that is designated on or
              after the Issue Date as an Unrestricted Subsidiary; and

                   (b) any Subsidiary of an Unrestricted Subsidiary."


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         8.   SEC Reports. Section 4.02 of the Indenture is hereby amended to
              read in its entirety as set forth below:

         "SECTION 4.02. Intentionally Omitted."

         9.   Limitation on Debt. Section 4.03 of the Indenture is hereby
              deleted in its entirety and shall be of no further force and
              effect, except for the purpose of determining whether a
              transaction constitutes an Asset Sale and for the purpose of
              Section 5.02(e) of the Indenture.

         10.  Limitation on Restricted Payments. Section 4.04 of the Indenture
              is hereby deleted in its entirety and shall be of no further force
              and effect, except for the sole purpose of determining whether a
              transaction constitutes an Asset Sale.

         11.  Limitation on Liens. Section 4.05 of the Indenture is hereby
              amended to read in its entirety as set forth below:

         "SECTION 4.05. Intentionally Omitted."

         12.  Limitation on Issuance or Sale of Capital Stock of Restricted
              Subsidiaries. Section 4.06 of the Indenture is hereby amended to
              read in its entirety as set forth below:

         "SECTION 4.06. Intentionally Omitted."

         13.  Limitation on Restrictions on Distributions from Restricted
              Subsidiaries. Section 4.08 of the Indenture is hereby amended to
              read in its entirety as set forth below:

         "SECTION 4.08. Intentionally Omitted."

         14.  Limitation on Transactions with Affiliates. Section 4.09 of the
              Indenture is hereby amended to read in its entirety as set forth
              below:

         "SECTION 4.09. Intentionally Omitted."

         15.  Limitation on Layered Debt. Section 4.10 of the Indenture is
              hereby amended to read in its entirety as set forth below:

         "SECTION 4.10. Intentionally Omitted."

         16.  Designation of Restricted and Unrestricted Subsidiaries. Section
              4.11 of the Indenture is hereby amended to read in its entirety as
              set forth below:


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         "SECTION 4.11. Intentionally Omitted."

         17.  Limitation on Sale and Leaseback Transactions. Section 4.12 of the
              Indenture is hereby amended to read in its entirety as set forth
              below:

         "SECTION 4.12. Intentionally Omitted."

         18.  Limitation on Company's Business. Section 4.13 of the Indenture is
              hereby amended to read in its entirety as set forth below:

         "SECTION 4.13. Intentionally Omitted."

         19.  Future Subsidiary Guarantors. Section 4.15 of the Indenture is
              hereby amended to read in its entirety as set forth below:

         "SECTION 4.15. Intentionally Omitted."

         20.  When Company May Merge or Transfer Assets. Sections 5.01(c), (d),
              (e), (f) and (g) of the Indenture are hereby deleted.


         21.  Waiver of Stay or Extension Laws. Section 6.12 of the Indenture is
              hereby deleted.

         22.  Discharge of Liability on Securities; Defeasance. Section 8.01(b)
              of the Indenture is hereby amended to read in its entirety as set
              forth below:

         "(b) Subject to Sections 8.01(c) and 8.02, the Company at any time may
terminate (i) all of its obligations under the Securities and this Indenture
("legal defeasance option") or (ii) its obligations under Sections 4.07 and 4.14
and the operation of Sections 6.01(5), 6.01(6), 6.01(7), 6.01(8), 6.01(9) and
6.01(10) (but, in the case of Sections 6.01(6) and (7), with respect only to
Significant Subsidiaries) and the limitations contained in clause (e) of Section
5.02 ("covenant defeasance option"). The Company may exercise its legal
defeasance option notwithstanding its prior exercise of its covenant defeasance
option.

         If the Company exercises its legal defeasance option, payment of the
Securities may not be accelerated because of an Event of Default. If the Company
exercises its covenant defeasance option, payment of the Securities may not be
accelerated because of an Event of Default specified in Sections 6.01(4) (with
respect to the covenants of Article IV identified in the immediately preceding
paragraph), 6.01(5), 6.01(6), 6.01(7), 6.01(8), 6.01(9) and 6.01(10) (with
respect only to Significant Subsidiaries in the case of Sections 6.01(6) and
6.01(7)) or because of the failure of the Company to comply with the limitations
contained in clause (e) of Section 5.02. If the Company exercises its legal
defeasance option or its covenant defeasance option, each



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Subsidiary Guarantor, if any, shall be released from all its obligations under
its Subsidiary Guarantee.

         Upon satisfaction of the conditions set forth herein and upon request
of the Company, the Trustee shall acknowledge in writing the discharge of those
obligations that the Company terminates."

         23.  Execution of Supplemental Indenture for Future Subsidiary
              Guarantors. Section 10.06 of the Indenture is hereby deleted.

         24.  Effectiveness of Supplemental Indenture. Notwithstanding anything
              to the contrary contained herein, this Supplemental Indenture
              shall be of no force or effect until the consummation of the
              Exchange Offers, and upon consummation of the Exchange Offers,
              this Supplemental Indenture shall be in full force and effect and
              the Indenture shall be deemed amended as set forth in this
              Supplemental Indenture.

         25.  Ratification of Indenture; Supplemental Indentures Part of
              Indenture. Except as expressly amended hereby, the Indenture is in
              all respects ratified and confirmed and all the terms, conditions
              and provisions thereof shall remain in full force and effect. This
              Supplemental Indenture shall form a part of the Indenture for all
              purposes, and every holder of the Notes heretofore or hereafter
              authenticated and delivered shall be bound hereby.

         26.  Governing Law. THIS SUPPLEMENTAL INDENTURE SHALL BE GOVERNED BY,
              AND CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF NEW
              YORK BUT WITHOUT GIVING EFFECT TO APPLICABLE PRINCIPLES OF
              CONFLICTS OF LAW TO THE EXTENT THAT THE APPLICATION OF THE LAWS OF
              ANOTHER JURISDICTION WOULD BE REQUIRED THEREBY.

         27.  Trustee Makes No Representation. The Trustee makes no
              representation as to the validity or sufficiency of this
              Supplemental Indenture.

         28.  Counterparts. The parties may sign any number of copies of this
              Supplemental Indenture. Each signed copy shall be an original, but
              all of them together represent the same agreement.

         29.  Effect of Headings. The Section headings herein are for
              convenience only and shall not affect the construction thereof.



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IN WITNESS WHEREOF, the parties hereto have caused this Supplemental Indenture
to be duly executed as of the date first above written.

                           ALAMOSA HOLDINGS, INC.

                                    By: /s/ David E. Sharbutt
                                    --------------------------------------
                                    Name:   David E. Sharbutt
                                    Title:  President

                           ALAMOSA (DELAWARE), INC.

                                    By: /s/ David E. Sharbutt
                                    --------------------------------------
                                    Name:   David E. Sharbutt
                                    Title:  President

                           EACH OF THE SUBSIDIARY GUARANTORS
                           SET FORTH ON SCHEDULE I HERETO

                                    By: /s/ David E. Sharbutt
                                    --------------------------------------
                                    Name:   David E. Sharbutt
                                    Title:  Authorized Signatory

                           WELLS FARGO BANK MINNESOTA, N.A.,
                           as Trustee

                                    By: /s/ Michael T. Lechner
                                    --------------------------------------
                                    Name:   Michael T. Lechner
                                    Title:  Corporate Trust Officer

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                                   SCHEDULE I


Alamosa PCS, Inc.

Texas Telecommunications, LP

Alamosa Wisconsin Limited Partnership

Alamosa Delaware GP, LLC

Alamosa Wisconsin GP, LLC

Alamosa Finance, LLC

Alamosa Holdings, LLC

Alamosa Limited, LLC

Alamosa (Wisconsin) Properties, LLC

Alamosa Properties, LP

Alamosa Missouri, LLC

Alamosa Missouri Properties, LLC

Washington Oregon Wireless, LLC

Washington Oregon Wireless Properties, LLC

Washington Oregon Wireless Licenses, LLC

SWGP, L.L.C.

SWLP, L.L.C.

Southwest PCS, L.P.

Southwest PCS Properties, LLC

Southwest PCS Licenses, LLC