Thanks again, Kingskerswell. I did enter the children found on familysearch. The information from Maryland did help me a lot with some spouses for the female Beggs, also males.
My Thomas had a sister Margaret born 1796 who, at the time of brother Robert's will written in Jan 1876, was married to James Waddell. According to the Maryland family tree, Margaret had married to William John Wright and had a son William John Wright. I am thinking, but could be wrong, that William was probably her first marriage and James her second. I have looked for both marriages and both husband's wills, and wills written by Margaret using both surnames but found nothing. Margaret was born 1796 probably in either Carnlea, Carulla Parish or Brookfield, Ballyeaston or Kilbride, so thinking first marriage probably about 1814 and son William born perhaps 1816-1820. James Waddell and Margaret were both alive in Jan 1876.
If you can find this couple, I would be deeply appreciative.
Peggy