Hi there
There seems to be alot of little places around Oake but no Jennings.
I did find quite a few Jennings at a place called Bishops Hull which
is 4 miles from Oake and 2 miles from Milverton.
Also alot of them in Taunton.
I did find a Thomas Jennings born 1771 but no village mentioned,
and he is on the 1841 census aged 70 living about 16 miles away
from Oake. His parents are Edward and Ann? Jennings is sometimes
written as Jenings.
The Church where they may have gone probably do not have their records
on line yet. Not everyone are transcribed on line. I noticed that on
the IGI one of the little villages near Oake only have records up to
1679 at the moment so well behind finding your Thomas.

regards Sandymc