County Commissioner Tim Boyd was the only member of the commission voting against the county agreeing to a 100 percent grant match involving horse trails at the Enterprise South Nature Park.
He said efforts should be made to have the private sector and the equestrian community step up to meet the match requirement.
County officials said the city and county are applying for the $230,000 state grant, but have no assurances of getting it.
County Mayor Jim Coppinger said the city would pay half of the $230,000 match - or $115,000 each.
Commissioner Boyd said the city had not acted on the proposal. County Mayor Coppinger said he had assurances from Mayor Andy Berke.
The county mayor said the trails at the 2,800-acre nature park would be another amenity for visitors as well as local residents.
Commissioner Boyd denied that he is a "horse hater," saying his grandchild often rides horses.
In other action, the commission confirmed the appointments of Albert Kiser as administrator of finance and Lee Brouner as his top assistant.
The panel also approved magistrates Randy Russell and Sheretta Smith for new terms.
Mr. Russell will continue as chief magistrate.