I show two others of Obermoschel by the name of Wilhelm Ludwig Schuck (I don't show any progeny for them, but for all I know they may very well have been prolific):
Wilhelm Ludwig Schuck who married Susanna Catharina Hauss on 4 January 1745/46 at Obermoschel. He was a son of said Johann Hermann Schuck and wife Maria Barbara Lutz.
Wilhelm Ludwig Schuck born 12 December 1757 at Obermoschel, He was a son of Johann Philipp Schuck (himself also a son of said Johann Hermann Schuck) and wife Anna Catharina Jacobea Böhler.
I show no son of Wilhelm Ludwig Schuck 1658-1727 named Ludwig Schuck. Given the dates that you indicate, maybe one of these other two could have been the individual of your interest, the one who married Miss Hauss possibly being the more likely of them considering the birth years for the subsequent generations.