Hi
Tylenol (acetaminophen) alone has not been known to be efficacious in migraine. However tylenol with codeine (tylenol 3) is as effective as the nonsteroidal antiinflammatory agents like ibuprofen and diclofenac. The therapy may have to be personalised also. You could start with ibuprofen, and if not completely effective, you may try tylenol 3.
Best..
Well for my migraines, I take advil migraine relief, it works wonders for me. Good Luck, migraines are a real pain.