Bob, there is nothing in either the (published to date) Great Migration series, nor in any of the journals published or otherwise made available through the NEHGS americanancestors.org web site. (I.e., the Register, TAG, Mayflower Descendant, etc.)
I did find Thomas' will, which I added to the lowest-numbered profile. His wife survived him.
The "sources" you list above are pretty suspect. I found the Thorington (not Thorrington) registers on Ancestry.com and no Ann(e) Savoy to be found. Too bad there was no page number. The peerage.com reference has several errors in it (note duplication of children), so I wouldn't trust it.
The most definitive and recent source I could find is the 1986
Plymouth Colony, Its History & People, 1620-1691
By Eugene Aubrey Stratton
which mentions only Anne, no maiden name.
I suggest you go with Unknown and put "Savoy (unproven)" in Other Last Name.
Then copy paste the above text (edited for clarity) under a header "== Disputed Origins =="
Thanks for the work you're doing, Bob!