I did find this baptism of Mary at St Nicholas Church Deptford 1706/07:
"7th of January. Mary daughter of Wm. Stanley, Distiller at the Upper Wales (?) gate."
It's Upper Water gate, which was essentially a continuation of King Street.
Thanks very much,
I have also since found more baptisms at the same church:
Charles (1692), Mary (1694). Mary probably died before January 1706, because they had another daughter baptised called Mary then.
Then there was an "Elisha". On the original image it states "son of". On Ancestry's database it states "daughter of". Elisha was baptised 11.05.1696.
Then: Isabella (baptised 1698, buried July 1698).
George- Baptised 1699. Buried 8th of April 1700.
Henry and Dunn, twins baptised on the 14th of April 1704.
These two may possibly be a bit of a mystery. The father William was then a "Caulker of ye(?) Greene."
Dunn was buried 9th of May 1704. Henry was buried in June 1704. On both of these occasions, the father William was put down as a "Caulker" on the burial register.
Only three months later, Thurston Stanley was baptised on the 21st of September, and William's occupation was: "a Distiller of King Street." There is another post about that here. One person was wandering if two William Stanley's were having children baptised in Deptford at the same time.
I'm not sure about that one.
Here is the post about this:
http://www.rootschat.com/forum/index.php?topic=489000.0What I have managed to find out is that my William probably was not the William Stanley, Sugar Baker:
From a Quaker baptism on Find My Past, I found out that Thurston (spelt Thurstian) Stanley was born on the 21st of July 1691, in Stepney to William Stanley, Sugar Baker and his wife Mary.
Thurston was buried on the 14th of April 1692. This is from Find My Past:
"Thurston Stanley, son of Wm and Mary Stanley of Shoreditch parish, aged about eleven months died the 14th of August 1692." He was buried at Peel.
In the meantime before this, the Wm Stanley of Deptford had a son Charles baptised on the 24th of April 1692.
So I know now it is likely that my William was the William Stanley who married Mary Webster at St Nicholas Church, Deptford, on the 28th of July 1687.