This note, which was in 110.0, is for a different Thomas Lake ...
I think it's possible Nancy Lake (born 1750) who married Henry Bird (1745 - 1815) is the daughter of Thomas Lake and Eleanor ------.  Henry Bird was the administrator of the estate of Thomas Lake (who died intestate).
Thomas Lake (110.0) died with a will.
The children of Henry Bird and Nancy Lake appear to be: Joseph, John, Thomas, Ann, William, Henry and Sarah.  DNA test results show a relationship between Nancy Lake (born 1750) and myself.

also, the following, which was in 110.0, is for a different Thomas Lake:
   Feb 1797 estate of Thomas Lake involved in a Hunterdon Common Court case [29]
29.  court records, Records->Misc->110.-3.jpg and Records->Misc->110.-4.jpg

see 82.3/37/220.jpg   (a different ref before the first slash)
since this is Thomas Lake of Kingwood Twp it could also mean that Thomas (son of 110.15) is this guy and not the Thomas who went to VA (or perhaps this Thomas is a grandson of 110.15)