I cannot for the life of me figure out what kind of faucet this is. I need to replace the stems as they are leaking but without knowing the brand I am stumped!
It's an installed faucet as far as I can make out. To replace the stems it is not necessary to know the mfr and model (though might be helpful), instead just bring them in to a plumbing store (ideally) or Home Depot.
I once brought my broken version of this part:
in to a plumbing store. Without out my saying a word, the counterhelp simply looked at it, said 'ok', walked back into the stock shelves and came back with the replacement kit.