Ignoring the possibility of this occurring in the first place, your objection to her father being alive has rather a large hole:
“The flesh of his servant, willingly given; the blood of his foe, forcibly taken; and the bone of his ancestor, unknowingly bequeathed. Voldemort is a perfectionist...and he would certainly seek the most powerful combination: the flesh of Bellatrix Black, the blood of Harry Potter, and the bone of his father.”
Ignoring the possibility of this occurring in the first place, your objection to her father being alive has rather a large hole:
She has other ancestors she could use.