Named as Alce, relict of John Brickey, in the papers related to administration being granted on her husband's estate (see Westmoreland Virginia Probate of Brickey Estate 1718 on the Collaborate tab of her husband LBZ7-7LD (FamilySearch Family Tree)).
There is no evidence that she was the mother of Jean's children, but this can be assumed unless other information is discovered. There appears to be no evidence for her surname, or for her first name being Mary - this appears to be "tradition".