While "shoot" (as a noun) can refer to a photo session, it refers to the session itself, not to the photos produced, in my experience. "Shoots by X" on a website will just look like a mistake (unless it is a diary of the sessions themselves).
Only "shots" is possible for the photos themselves. If you want to bring out the organisation into sessions, I think you'll need something like "albums" or "collections".
You might just about get away with "photosessions by ... ": using the full word will stop it misdirecting readers, and I think people will guess that it means "The photos from photosessions by ...".