Actually, having checked the PR entry referred to in the link I posted, I think it reads:
Martin [?] sonne of Goodith Liggins als. Checkland bastard
baptized the 16th of July
Goodith is, I think, the lady's given name, not 'Goodwife' as the poster of that message interpreted it.
So it would seem that for some reason Goodith used both surnames, and Checkland is not (at least not necessarily) the father's name.