And though you may not have realized it in the last post, you further deprecated the claim that Joseph husband of Isabella Henry & son of Joseph and Martha Swansey/Swansea/Swance, had the middle name Elias. Here Elias Lewellen Carroll, was given Elias as the first name.
Often sons are considered a Junior with a middle name and their father had no or a slightly different middle name, including my father at times with his father.
I would have been extraordinarily rare to reuse a non-family name a second time in first or middle position, where the first sibling born with it survived.
Every occasion an American family claims nobility red flag and every occasion an American family claims middle names where the other siblings have none, red flag. Here all the siblings are listed with middle names at least now.
So keep researching and avoid absolute statements. Get original documents and photos or copies of them to prove some part of your case. No matter what such a document says you still must prove identity of your guy is the same as that of the person reference.