**EXHIBIT
      31.1**





**CERTIFICATION
      OF CHIEF EXECUTIVE OFFICER PURSUANT TO**


**SECTION
      302 OF THE SARBANES-OXLEY ACT**





I,
      Judson
      Bibb, certify that:





(1)  I
      have
      reviewed this quarterly report of Bibb Corporation;





(2)  Based
      on
      my knowledge, this 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 report;





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





(4)  Bibb
      Corporation's other certifying officer(s) 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)):





(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 Bibb Corporation, including its consolidated
      subsidiaries, is made known to us by others within those entities, particularly
      during the period in which this report is being prepared;





(b)  Evaluated
      the effectiveness of Bibb Corporation's disclosure controls and procedures
      and
      presented in this report our conclusions about the effectiveness of the
      disclosure controls and procedures, as of the end of the period covered by
      this
      report based on such evaluation; and





(c)  Disclosed
      in this report any change in Bibb Corporation's internal control over financial
      reporting that occurred during Bibb Corporation's most recent fiscal quarter
      (Bibb Corporation's fourth fiscal quarter in the case of an annual report)
      that
      has materially affected, or is reasonably likely to materially affect, Bibb
      Corporation's internal control over financial reporting; and





(5)  Bibb
      Corporation's other certifying officer(s) and I have disclosed, based on our
      most recent evaluation of internal control over financial reporting, to Bibb
      Corporation's auditors and the audit committee of Bibb Corporation's board
      of
      directors (or persons performing the equivalent functions):





(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 Bibb Corporation'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 Bibb Corporation's internal control over financial
      reporting.





Dated:
      May, 12,
      2008 **BIBB
      CORPORATION**





/s/
      Judson Bibb


By:
      Judson Bibb, President,


Chief
      Executive Officer and Director