Do babies faces break out when teething?

My baby girl has had a fever since Monday night..
We figured it was her teething since she been biting and drooling on everything. We took her to the doctor last night and they just said continue Tylenol for fever she may have just picked up a virus. They asked if she had any rashes but then it was a couple of little bumps on her cheek but nothing alarming and today I come home and both cheeks even over her nose has these hive like bumps. Anyone else experience this with their baby?