After checking my "on-shelf" resources about Waushara County, I can't seem to find any mention of A. W. Peters or his photography business. But...there IS a reference on-line to a "self-taught photographer, A. W. Peters" on the web pages for the Fresno (CA) Historical Society. This could be just a coincidence of names, of course, but it might also lead to a location where he moved after being in Waushara County.

If you run a Google search for the "A. W. Peters Collection of Fresno County, California," you can find the link and browse the site. There's also a photograph of "their" A. W. Peters and his family which might offer more clues if you can match up any of the people in it.

It's a long shot, for sure, but it might offer some clues.

Good luck in your search!