The following are the only references to Constant in the "St. George's Parish Registers 1689-1793" by Bill and Martha Reamy, pub. by Willow Bend Books 1999. Spellings and dates vary from some message board postings and Rootsweb gedcoms. These entries are abstacts; the original register are in the MarylandState Archives.
"October 13th 1726 then was Thomas BRAYSHER m. to Sarah CONSTANCE." Separate entries are made for birth of children William, Elizabeth, Thomas and John.
"Margaret CONSTANTE [sic] b. 30 March 1722; Susanah CONSTANTE [sic] b. 3 May 1724; John CONSTANT b. 14 August 1725; William CONSTANT b. 23 May 1727; children of John CONSTANT and Susannah his wife."
"May 1st 1733 then was b. Elizabeth CONSTANCE d/oJohn CONSTANCE and Susanna his wife."
"March 22nd 1736 then d. Susannah CONSTANCE."
"William BROWN m. Margaret CONSTANCE 31 December 1740."