Here's some info - not sure if it'll help. All Main-a-Dieu area.
Charles Shaw (b. abt 1770 d. before 1860)married Jane Burke
Richard m. Maria Burke
Bridget Shaw (b. 1845) m. John Hall
Maria Hall(1882 - 1954) m. George Davis Rands
These were my grandparents.
Not sure if I'm missing some children of the various couples. Anything you can add would be appreciated.