Hi William!
I'd love to see what you're finding on William. I found the book that you mentioned on Google Reader, and have been digging more to see what other documentation may be found.
I descend from both Ann and Elizabeth -

Ann & Nathaniel Geary
Elizabeth Geary & William Abbott
Hannah Abbott & Abiel Holt
James Holt & Esther Owen
James Holt & Mary Poole
Timothy Holt & Almira Perkins
Adelaide Holt & William Eldredge
William Holt Eldredge & Olive Lougee
Lester Fremont Eldredge & Mildred Roach
my father
me
---
Elizabeth & John Chandler
Elizabeth Chandler & Robert Mason
Robert Mason & Hannah Holmes
Mary Mason & Enoch Pierce
Mary Pierce & Jesse Eldredge
Elijah Eldredge & Sarah Hunt
William Eldredge & Adelaide Holt
Willard Holt Eldredge & Olive Lougee
Lester Fremont Eldredge & Mildred Roach
my father
me

Rub shoulders with the Douglas. Gorrenberry is near lands of William Douglas of Cavers, which Bothwell obtained, around the Hermitage Castle.

Note; Infinis, Windy Edge has a planned wind farm of land of Braidley with was of William Douglas of Cavers.

Am of the Daniel Elliot Cluster of  R-U106, and a couple of write ups on gorrenberry.com Gorrenberry next to Braidlie where Infinis Windy Edge wind farm place on Hermitage hill near Hermitage Castle. Here are the page links;

Archibald Douglas 13th of Cavers was born c.1667, the 2nd son of Sir William Douglas of Cavers (d. 1676) by Catherine, daughter of William Rigg of Aithernie, Fife married Anna, daughter of Francis Scott of Gorrenberry, Roxburgh (although some dispute this).

Adderstonelee, an isolated farm above the Slitrig valley, part of the former lands of Adderstone, was purchased in 1750 from Francis Scott of Gorrenberry by Capt. John Douglas, brother of Archibald, Laird of Cavers.

Otherwise, I can find no Douglas connection.

For more on modern day Gorrenbrry, see:http://www.gorrenberry.org.uk/