I know that Henry existed and that his father was Thomas. I know that Thomas's wife was Elizabeth Norris. This is from my own Taubman records passed down from Esther Taubman, my ggm, which precisely matches the Peerage. The Mary Moor part was indeed missing from 'my' record, as it simply stated the first name of Mary. That is good enough for me as Mary's last name was relatively unimportant. I am not going to worry about everyone's baptismal records, which may or may not be simply missing. Two solid sources from that murky time frame should be enough. You seem so concerned. Are you also of this lineage?
WSP