Hello....
Bit late to the party, but here it goes...
Albert Nicholas Meeker is my 10th great grandfather. Our shared family tree has some serious genealogists, at least in my branch. You are correct, there is no evidence that 'Rosie Bennie' was a Lady or held any rank. That story can be traced to one person puffing things up on facebook, probably for their ego.
There is one Leamington, now known as Leamington Spa. While gramps probably lived there, at some point he did move to Cornwall, which is pretty far away for the time period. Why? Who knows.
Now, there is a LOT of history documented for William Meeker, my 9th great gramps. He was one of the founders of New Haven, Connecticut. The Meekers who came Stateside tend to be in a lot of history, and are well documented.
Some sources show that Gramps Albert had another son who stayed in England, whereas William went Stateside. This seems quite possible. I know that genetic tests I have taken have shown distant family in the southern UK area.
But no, we are not royalty or ranked in any way. We are, to the contrary, quite prodigious in being anti-monarchy, as evidenced by 13 of us fighting in the American Revolution.
Hope this helps.