The Collaborative International Dictionary of English v.0.48:
deservedly \de*serv"ed*ly\ (d[-e]*z[~e]rv"[e^]d*l[y^]), adv. According to desert (whether good or evil); justly. [1913 Webster]WordNet (r) 3.0 (2006):
deservedly adv 1: as deserved; "he chalked up two goals which deservedly gave Bolton their second victory of the season" [ant: undeservedly]