Clarke's double came in the 57th and 92nd minute to secure a 2-1 win at Solihull Borough.
Dean Curtis scored in between Clarke's brace for the hosts.
Winger Mark Kennedy, playing his first game for two months, completed the full ninety minutes.
Wolves: Murray, Flynn, Kennedy, O'Connor, Bjorklund, Townsend, Gobern, Davies, Clarke, Gleeson (France 83), Cooper (Rafferty 45). Subs not used: Riley, Ikeme, Musson.