Anthony Eames had a son named in his Last Will and Testament who was Not Anthony Sawyer Eames, Jr.
Moreover, there's reason to think Anthony Sawyer Eames, Jr. did not marry Grace Oldham and that Anthony Eames did. Wikitree thinks so:
https://www.wikitree.com/wiki/Eames-92
https://www.wikitree.com/wiki/Eames-820