I have done some research of the MORGANS through the Welsh Biography On-line of the National Library of Wales.
The real question should have been: WHO MARRIED LADY FRANCES SOMERSET? All the Ancestry Hints have her married to Sir William Morgan--but it his heir, Thomas who she married and had three children with.
I suspect that the discrepancy will tell which Morgan family the American Morgans actually descend from which would include your link to Squire Boone. There is enough information on Wikipedia to show his link to the Morgans. He married Sarah, the aunt of Gen. Daniel Morgan that I am researching.