There is no primary documentary evidence to support his being related to the Stratford Lee line in any way or degree - only generations of erroneous assumptions.
Y-DNA evidence, as far as that can be trusted, indicates that he is not related to ANY other known Lee family - and there are over twenty tested and proved family groups, plus a number of lone outliers. *He* is a lone outlier. He's not a Stratford Hall Lee (no way!), not a Nansemond Lee, not even a Goochland County Lee (a small, isolated family group descending from one John Lee b. c. 1705 d. 1771 Goochland County).
He's not a match to anybody at all, and belongs at the head of his own line with "parents unknown".