Hey Laura:
I am descended from Dominick Wheeler and I can tell you I searched British records to confirm some info:
Dominick was born about 1565. Source: Ancestry of Charles Stinson Pillsbury..., "The Dominick Wheeler Line", by Mary Lovering Holman, 1938, Vol. 2. Number 157.
Dominic Wheeler was a shearman, or one whose occupation was to shear cloth.
Married Mercy Jellye 3 June 1588 in Salisbury Wiltshire. At Salisbury St Edmund's Church. WP Phillimore's Parish Registry Series, Volume 13, page 22.
Buried Jan. 12, 1615/6 St. Edmund's, Salisbury, Wiltshire. Will is dated 12 December 1615 and it was proved the 16 February 1615/6. Source: "Wheeler", Bassett-Preston ancestors : a history of the ancestors", Belle Preston, 1930, p 317. Familysearch Film: 1279311.
Mercy was the daughter of William Jellye born about 1540 in Wiltshire. Married Eyed Atkins 7 November 1565. WP Phillimore's Parish Registry Series, Volume 13, page 7. Mercy was born about 1569.
Oddly enough, I don't have Moses Wheeler as a child of Dominick and Mercy. I have a Moses Wheeler born 24 June 1665 in Salisbury Essex Massachusetts. Son of Henry Wheeler and Abigail Allen. If this is, in fact, your Moses, I can send you more data (and sources). (Henry was son of John Wheeler and Agnes/Ann Yeoman, John was son of Dominick.)
best regards,
Ann Carmel