Gainesville City Council members say they have no plans to ban pit bulls in the city limits.A number of supporters of the breed came to the council’s Tuesday meeting from as far as Athens, Gwinnett County and Fayetteville to discourage any notion that the council might try to ban the breed.But after the first of them, Gwinnett County resident Johanna Falber, spoke, City Attorney James E. “Bubba” Palmour said the city could not, under Georgia law, exclude the ownership of a specific breed.Palmour had looked into the request after a woman called on the City Council at its April 17 meeting to initiate a citywide ban on the breed.In her plea, Jean Brannon told the story of her grandson whom she said was mauled by a pit bull in Cartersville recently while running alone in a neighborhood. Bartow County Animal Control officials said Tuesday that Brannon’s grandson was attacked by a Dalmatian-Great Dane mix.Days after the request, a 9-year-old Gainesville girl was flown to an Atlanta hospital after a newly adopted pit bull bit her arms in a McEver Vineyards apartment. Adrinna Adkins was protecting a cat the dog was chasing when it bit into her.Gainesville resident and pit bull owner Kimberly Major told the council that she was glad the council wouldn’t be pursuing the ban Tuesday.“I really don’t want to be put in a situation where I have to choose between where I live and a family member,” Major said.And Falber and others used the council’s public comment period to try and change the tide of public opinion on the dog breed.