Kay,
I have just seen this message. Mary Barry was the sibling of at least three brothers. The three were transported on the Eliza II(4) in 1832 to Sydney for manslaughter in the Tithe Wars of 1831. Pierce and Mary ended up living in Yass, NSW with the three Barrys and other Whiteboys involved in troubles in Tipperary.
I am not sure if you are interested in this side of the Traceys.
John Barry
son of John Barry,
son of Patrick Barry,
son of John Barry,
son of James Barry,
son of Thomas Barry in the 18th century.