I suspect more and more that you are correct in your birth record for Mary Baldwin, b. 1781 to Richard and wife. In the 1841 census in Breconshire, Llyswen, HO107 / 1370/20 is the family of James Badham, age 60, farmer, Mary Badham, age 60, and John Badham, age 32. Finally I have a trail to work on! Thank you so much!!!!!