Teething Baby

Does anyone have experience with 2 month olds teething? I thought it wasn't supposed to be until 3-6 but my daughter is very irritable, constantly wanting to suck and chew on everything, not wanting to eat nearly as much, we can't soothe her unless she's got her nuk of the boob or her hand and that only lasts for a little bit and she's drooling more. She keeps whimpering and screaming like she's in pain. She'll be 2 months on the 15th. I'm not sure what to do if she is teething as the only oragel I found says 4 months and older. We just tried some Tylenol and hoping it helps a little.