The Sturgeons appear well established in Ballydougan, Co Down and went to St. Matthias in Knocknamuckley after it was established in 1837. It was formed from part of Tullylish and Seagoe parishes. Sturgeons do not seem to be at Seagoe in the 1820's when Ezekiel was having children.
The Lockharts-wife said to be Ann Jane Harper by one researcher- are in Ballydougan and Ballynagarick next door and possibly Ballygargin. Son William and dau Ann Jane (Lockhart) McMurray have gravestones at Knocknamuckley. Again, nothing in Seagoe records so try Tullylish.