A William Woodison married Elisabeth Turner on the 7
th Jan 1727 in Alverstoke St Mary, Hampshire. Alverstoke is across Portsmouth harbour from Portsea, where the Stigants were based.
This could potentially be the right person given the date and location. Some Ancestry members have also picked this as the right person.
The Portsea Island Rate Books record a William Woodison as occupier of in Portsea, for 1725. If this was the same person then he must have been born no later than 1707 in order to be paying rates in 1725.
Two William Woodisons have birth records for Alverstoke at roughly the right time:
These could possibly be this William, plus his father.
There are also a couple of William Woodasons born in Alverstoke, but their DOBs are later, in 1709 and 1710, which is probably a little too late assuming a marriage in 1727.
1706 - 