Haverill \ha-veri-ll, hav(e)-rill\ as a boy's name is a variant of Averill (Old English), and the meaning of Haverill is "boar battle". The baby name Haverill sounds like Haverell. Other similar baby names are Avrill, Averyll, Averil, Averell, Deverell, Farrill, Gavrilo, Gavril, Gavriel, Hadriel, Harrell, Havel, Peverell, Peveril, Peverall and Verill.