The family Bible of Malissa Alexander Bryant, daughter of Hamilton and Adelaide, gives Hamilton and Adelaide's birth dates and places, marriage date, and Hamilton's parents. It does not give Amanda's parents, but it does confirm that her full name is Amanda Adelaide Alexander.
However, family records also show that they were married in the home of Allen Alexander. Allen was the brother of David Alexander. The logical assumption is that the bride married at her parents' home. Likewise family records also state that Hamilon and Adelaide were cousins.