Very interesting. For what it is worth here are a couple of hits from the Maryland State Archives website(link below)after entering the different Abston variations. Both marriages.
Asbeston, William, m. by 1 Jan 1654, Elizabeth, dau. of Robert Smith (ARMD, 10:514, 515).
Alexander, m. by 21 Sep 1752, Deborah, dau. of William Mauduit of PG Co. (MDAD 33:5). Ezekiel, m. by 22 March 1750, (N), dau. of James McMurray of SO Co. (MDAD 29:232, 32:375; MWB 31:307, 36:51). John, of DO Co., m. by 20 Nov 1762, Mary, dau. of Levin Hill and granddau. of Henry Hill, Dec (DOLR 18 Old:235, 23 Old:223). Robert, m. by 30 Feb 1741, Mary, widow of Wm. Asbeston of SM Co. (MDAD 18:533). Samuel, m. by 14 Dec 1750, Hester, widow and admx of Benjamin Boon of QA Co. (MDAD 29:195).