Not sure what the “P. C. & A. S. Co.” might stand for, but I thought that a CABE member may have recently offered a badge, “Serl” (or Perl?) — so marked on eBay.Sounds like I have the ultimate Frankie bike! What do you think of the badge?
Also, there is a badge so marked on a “show us your badges...” thread — 2nd post, “Mohawk” badge.
Probably not associated with that other bicycle manufacturer located in the Mohawk valley and on the Mohawk River, (not by the higher Cohoes Falls, but the smaller falls).
Most people may associate “A.S.” bicycles with the famous Albert Spaulding — but his was more a Chicago concern.