A Roman Numeral designation has never been used for this person and shouldn't be tacked on. Roman numerals weren't used in England outside of Royalty -- he can't be a II if there is no I, especially when the lineage is not established and sourced. The generational "count" such as Thomas (1) Downes, Thomas (2) etc., would normally begin with the first American ancestor, but would only be used in text format, such as here: https://archive.org/details/historyofdescend1912lord/page/62/mode/2...
I see the numerals added in trees to visually help keep track of generations. I’d rather use a Will based location suffix (or how referred to in records), or nickname in quotes to distinguish between a similar named person. But the real question here is if there’s any supporting evidence for the father showing?
No, none. It's a guess from an old GedCom -- the same person made the erroneous connection to Simpson for Catherine (also unsupported, and thankfully, removed -- from here, anyway).There are about a half dozen fathers in England that would fit the timeline, two or three named Thomas, a Robert, and a couple others... still looking! I did find a Downes male that began with an F (I don't have it handy) but it was an odd name for the time, maybe Frederick? HE was married to a Catherine with a sister Elizabeth (which is often claimed about Catherine Simpson). That's the closest i could find on that front, and I do think it could very well be the erroneous Simpson connection, but they never even left England. Thank you Erica Howton!