Well I haven't got any direct information, and am confused where the name Cox comes from if that wasn't here maiden name, but if she named her oldest son Abraham McEnnons (a clear surname reference, and commonly done to preserve maiden name lines,) my guess is her maiden name was McEnnons.
I'm Bob Pipkin, grandson of Robert A. Pipkin (who I named my oldest son after also.) Any body know what the S stood for in William S Pipkin?