I have traced my family back to Rachel Ball and Joseph Thompson via their daughter Hannah who married William Underwood who had a daughter Lucy who was my great great grandmother.
Please contact me at email@example.com
and we can compare notes if you wish.
As a side note, William Underwood's father, Jesse, married a Mary Revel(s) born in France and I haven't been able to
find anything about her. She was born in 1766. Maybe a daughter of this Mary?