That's an interesting question, Frederick. Thomas Rogers' wife and 3 of his children were apparently living with Clements, but if there was a relationship I don't think it's been established. See: Clifford L. Stott, "English Ancestry of the Pilgrim Thomas Rogers and His Wife Alice (Cosford) Rogers", The Genealogist 10, No. 2. (Available online here.)
If you've found further evidence, please share!