my 3 month old has also been drooling for a month but no teeth yet. i wouldn't worry about it, it seems normal. i don't know how long it will take for him to get his teeth but it seems like it can be soon or it can take several months.
You could try the tablets if she's fussy and chewing on fingers or fist a lot. It's sort of trial and error in guessing the causes of fussiness sometimes. My ds#2 is a drool faucet -- started at 2 months and is now 7.5 and counting. No teeth yet, though.
Invest in bibs. Lots and lots of bibs. They'll come in handy down the road for messy eating.
We've got a drool monster here too.. ds is 2 months. It's so hard to tell if they're teething or not. Like somebody said, try the different teething remedies and see if they help (if the baby is fussy.)