This is obviously a ukrainised form of the frequent German name Schilling. The meaning is derived from the coin named Schilling (also the Austrian currency before the Euro), For more information on Schilling see
Heuser, Rita, Schilling, in: Digitales Familiennamenwörterbuch Deutschlands,
URL: <
http://www.namenforschung.net/id/name/153/1 >
(in German)