I found his genealogy in this book on line:
* Partial genealogy of John Reynolds, born in England in 1612 (supposedly), sailed from Ipswich county, Suffolk. A part of his lineage to 1916 (1916), by Alvah Reynolds
... which I'm sure you have. :)
The lineage is:
Sir Joshua Reynolds, born at Plympton-Earls Devonshire, July 16, 1723. Son of Rev. Samuel Reynolds, Master of the Grammar School there, and Theophila,
his wife. His grandfather was Rev. John Reynolds, Prebendary of Exeter Cathedral, who died in 1692, son of Joshua Reynolds. His mother, Theopliila,
was the daughter of Matthew Potter, by daughter of Rev. Thomas Baker. Vicar of Bishop Nympton, the distinguished mathematician.
He was justly called "the greatest painter England ever produced,' and one of the greatest in the world.
We have to get him going on Geni.
I got him going on Geni earlier, Sir Joshua Reynolds, will check your source to make any updates.
I found your Sir Joshua and it matches with the source I found. The connection needs to be made to the rest of the line with his grandfather here:
Kind of cool that we have Sir Joshua's own description of his ancestors to cite.
I loaded up his profile and I'm thinking of a spin off Project of Sir Joshua and The Society of Dilettanti (based around this website http://www.getty.edu/art/exhibitions/dilettanti/).
There is a saint, several bishops and two archbishops to profile as well: