Lengkepan kalimah di handap ieu: Dina 1993-1994, maén full-time di handapeun palatih anyar Pierre Maguire, Cunneyworth muncul dina 63 pertandingan sareng Hartford, nyetak salapan gol sareng 17 poin. Tanggal 11 Maret 1994, kalawan Whalers jauh ti buruan playoff, Whalers GM Paul Holmgren traded Cunneyworth, Gary Suter jeung Whalers pick babak katilu di
1995 NHL Entry Draft ka Chicago Blackhawks pikeun Frantisek Kucera jeung Jocelyn Lemieux.