always fussing

It's like this baby never just hangs out, she has constantly been fussy it seems since she was born, and especially now at 3 months. I'm sure she is teething, and I want to give her some baby Tylenol, but I've heard to try not to unless they get a fever... But nothing else seems to be helping her teething pain. She has been awake for 3 hours now and she can't go to sleep. I've tried to put her down 3 times. She won't take a bottle to calm down, be swaddled, swung, rocked, etc.