Research Notes:
"Return to Thomas Bothe, eldest son of John Bothe, of Barton, who was knighted 14 Henry VI. He married a daughter of Sir George Carrington, Knt. and relict of Weever, by whom he had four sons." [1]
The relationship of this Thomas Booth, to Thomas, died 1638, father of Henry Booth, if any, is uncertain to me.
[1] Thomas Wotton, Edward Kimber and Richard Johnson, The baronetage of England: containing a genealogical and historical account, Vol. 1, (London, 1771), 22, [InternetArchive], [GoogleBooks].