Am not sure, but am aware of the Oz Tartan, (pity Stillwater doesn't have it). There is also an Australian Millenium; lots of red/white/blue as opposed to the Tan shades of the former.
Capt. Bligh (Governor) bult an Anglican Church and forced the Irish Catholics to attend protestant Services. They rioted and burnt the place down. I think Mac Quarrie was possibly placating the mob. But Catholic he could've been; there were a lot of Catholic Scots. Australia's first Saint (Blessed Mary of the Cross/McKillop) was Australian born. Her parents Immigrated, met & Married in Melbourne. Her mother was a MacDonald.
"My" Stewarts (great Grandparents) were staunch Presbyterians - but would never explain an old photo of a Good Shepherd Nun in their family album. (?)