Hi Eric,
You mention Bridget Thornton that marries James Dolan i'll give you a quick run down of what I know, I know it's not exactly the line you are looking for but I would be related to Bridget that you mention.
Martin Thornton B 1810 Ballyhene / D 1850 in Gorteenmore Tourmakeady Marries Maria Quinn B1810 Gorteenmore / D 1870 Raploch Stirlingshire. Martin and Maria had 8 Children that I know of, one of their children was Bridget Thornton that you mention and another one of their Daughters was a lady called Catherine 'Kitty' Thornton B1850 Gorteenmore and Died 1895 in Raploch. Martin Thornton 1810 Died of Cholera during the famine, and Maria Quinn (Thornton) was evicted from their land which is when she took passage to Scotland, family folklore said that she walked from Gorteenmore to Derry with 5 of her children.
Now Catherine 'Kitty' Thornton (Bridgets Sister) Marries Michael O'Malley B1850 Mayo D1898 Raploch and they had 17 Children, 1 of their Daughters Elizabeth O'Malley B1892 Raploch Died 1927 Drimoggy Tourmakeady, was sent back to Tourmakeady to reclaim the 'Thornton' land / Farm, but she was unable to do so.
Elizabeth O'Malley married a man called John Staunton B1884 Drimcoggy D 1966 Drimcoggy Tourmakeady, and they had 3 Daughters, Elizabeth unfortunately died not long after the birth of their youngest child, but their Eldest Daughter was a lady called Bridget Mary Staunton B1921 D2002 Bridget Mary Staunton was my Grandmother.
If you have any dates for your Anthony Thornton I will have a dig about gladly, hope this is of some help,
My Mum actually still lives in Gorteenmore in Tourmakeady !!
Kind Regards
Michelle