Hi, Freereg has a Thomas Morey baptised 26 Mar 1780 St Swithun, Allington. Parents Thomas and Elizabeth.
They also had Ann bapt 1783
There is a marriage of Thomas Morey to Elizabeth Conneck at Loders, Dorset. 26 Sep 1779
Few other Moreys on there which may tie in with your tree. Try putting in just the surname/dorset/and date with + - 10 year search.