EXHIBIT 31.1

Certification of Chief Financial Officer pursuant to section 302 of the Securities and Exchange Act of 1934.

I, Francie P. Reppy, certify that:

I have reviewed this quarterly report on Form 10-Q of First West Virginia Bancorp, Inc.;

Based on my knowledge, this quarterly report 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 with respect to the period covered by this quarterly report;

Based on
my knowledge, the financial statements, and other financial information included in this quarterly report, fairly present in all material respects the financial condition, results of operations and cash flows of the registrant as of, and for, the
periods presented in this quarterly report;

The registrants other certifying officers and I are responsible for
establishing and maintaining disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) and internal control over financial reporting (as defined in Exchange Act Rules 13a-15(f) and 15d-15(f) for the registrant and
have:

(a) Designed such disclosure controls and procedures, or caused such disclosure controls and procedures to be designed
under our supervision, to ensure that material information relating to the registrant, including its consolidated subsidiary, is made known to us by others within those entities, particularly during the period in which this quarterly report is being
prepared;

(b) Designed such internal control over financial reporting, or caused such internal control over financial
reporting to be designed under our supervision, to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements for external purposes in accordance with generally accepted accounting
principles;

(c) Evaluated the effectiveness of the registrants disclosure controls and procedures and presented in this
report our conclusions about the effectiveness of the disclosure controls and procedures, as of the period covered by this quarterly report based on such evaluation; and

(d) Disclosed in this report any change in the registrants internal control over financial reporting that occurred during the registrants most recent fiscal quarter that has materially
affected, or is reasonably likely to materially affect, the registrants internal control over financial reporting; and

The registrants other certifying officer and I have disclosed, based on our most recent evaluation of internal control over
financial reporting, to the registrants auditors and the audit committee of the registrants board of directors:

(a) All significant deficiencies and material weaknesses in the design or operation of internal control over financial reporting which
are reasonably likely to adversely affect the registrants ability to record, process, summarize and report financial information; and

(b) any fraud, whether or not material, that involves management or other employees who have a significant role in the registrants internal controls over financial reporting.

Date: November 12, 2010



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|/s/ Francie P. Reppy                                                              
|Francie P. Reppy                                                                  
|Executive Vice President, Chief Administrative Officer and Chief Financial Officer
|(Principal Financial Officer)