But they said that they likely won't file a formal complaint.
Cartmill said Bailey doesn't like being outvoted on a matter.
"You can tell by the way he reacts, and he didn't participate the rest of the meeting (last week),'' she told the newspaper.
Yon, who took office in January 2011, said that she has tried to work with Bailey but he puts too much emphasis on party affiliations.
"I feel like if he is going to continue to behave like a child, I'm not going to respond to him,'' Yon told the newspaper. "It's a waste of everyone's time, and it's offensive to the people who attend.''
County Manager Chris Tatum said he would step in and tell the commission that work must be completed on behalf of Cabell County residents, if the conflict ever reached a point where the commission could not make a decision on an important matter.