
There is no difference between 'Ann' and 'Anne' except the spelling. They are both pronounced the same way, it is a decision that the parent makes today when naming a baby, back 1778, I imagine it was down to the priest filling in the parish register, and many of the Surname variations were down to him too.
Without looking at my notes, I am unsure of which was which, but frankly both occur. On thers, and he children's documents. The problem is that some are from the parish records, some are from bishops transcripts of those records. So you have a child of Richard and Anne being married in a parish away from the one that they were born in with missing parish registers, solely surviving on a copy recorded of those registers perhaps by a priest who did not perform the wedding....