First, there are/were several Paw Paw's in Illinois.I've been digging into the Lee Co. Paw Paw histories and one of them mentioned they changed its name to Wyoming.As I recall there are other Paw Paws in DeKaulb and LaSalle.
Second, all I can do is eliminate some Brewers in Lee Co.
My Brewer line (my mother's side) was in Lee Cofrom 1843 or so onward.That would be Rev. James and his brother Ira Brewer.However they were in Lee Center and Bradford and came from the Northhampton area of Mass and before that TyringhamMass.This line probably arrived on the Lion in 1632 in Boston. Possible some of this line went to NY
My Goble line (my father's side) arrived Paw Paw Lee Co.(aka Wyoming) around the same time.Timothy Goble came from PA and his ancestors from NJ and MA.I will do a little digging into info I have and get back to your email.