I'm going off on a tangent from your main query, but on the assumption that it might eventually help tie things together...
The will of Christopher Gardiner son of William who died in 1713 mentions his sisters 'Hastings' and 'Freeman'.
Your list of baptisms of children of William and Priscilla Gardiner at Guiting Power only includes one daughter, Priscilla, so it wouldn't be unreasonable to expect that she is the woman who married Penyston Hastings.
But there has to be another sister, who married a man named Freeman.
I would suggest Barbara Gardiner, d/o Mr Gardiner (that is what the PR says) baptised 20 April 1682.
I think this is her marriage at St Benet Paul's Wharf, London:
20 October 1709 Kemmet Freeman of the Middle Temple, London and Barbara Gardiner of St Martin in the Fields, Mddx.
Kemmet and Barbara lived in London for a while, baptising a son, Kemmet at St Martin in the Fields on 27 December 1711, but later returned to Gloucestershire, baptising children at Twyning:
John b1714 d1714
Barbara b1716
John b1718
Priscilla b1720
Anna b1722
Kemmet Freeman was buried at Twyning in 1749. The list of Oxford Univerity alumni has an entry for him which states that his father's name was Charles. So if this is accurate:
https://wc.rootsweb.com/trees/130716/I24722/kemmet-freeman/individualit seems possible that Charles Freeman was a brother of Priscilla Gardiner née Freeman.