Barnes ran for governor in 2011 but lost in the primary.
Former Republican Secretary of State Betty Ireland said she had received messages from people about making a run. She also thinks the 2nd District is "amenable" to electing another woman, but she said she has yet to think about it.
"I just had not really given it any thought," Ireland said.
Ireland also ran for governor in 2011 but also lost in the primary.
Anne Barth, the former aide to Robert Byrd who unsuccessfully challenged Capito in 2008, said she was "not even sure what I'm having for supper tonight" much less what she would be doing in 2014.
"In all seriousness, I have a job now that I like very much that keeps me very busy, and I haven't given any thought to campaigning," she said in an email.