Hi Dave
Thanks for all that looking up. And yes I do have all the kids baptism details thanks to my original source and some good hunting by fellow RootsChatters.
So, to summarise, the two big unknowns are; was there one William or two and if there was one (or two) who was the wife that was buried in 1729 the possible mother of the first 7 kids?
So, on the balance of probability, I like:
William b 1691
Ann b 1703
William being the father of all kids and Ann the mother of the last 4.
That is quite neat and tidy but for the close proximity of the death of first wife and marriage to second.

Cheers
Bob
PS Dave just noticed you have a Popple in Rutland - will PM you