Tell me what I got wrong. It could be any of 25 Jefferson men. She worked for TJ, went to Paris with him and so on. So he either is the father or he pimped her out to his family.
The whole story revolves around the Jefferson in Paris myth: he seduced the young girl in Paris, got her pregnant, and she bore his child shortly after their return. Except that she was not pregnant with any child of his upon her return from Paris, and apparently wasn't pregnant at all at the time.
If the pillars that held up the "big house" have collapsed, there is no reason to try and resurrect the structure.
Your dichotomy is false. Slave girls got pregnant all the time, without their masters necessarily having slept with them, or having "pimped [them] out."
Didn't TJ have a problem with his slave becoming pregnant so many times? How useful would she have been pregnant that many times? How much work can you do when you're pregnant? It could have been years' worth of down time. And what about the morality aspect? Did he not have a problem with his unmarried slave having child after child? And who paid for the day-to-day existence of so many children? Jefferson?