Hi, I have this Mary with an illegitimate child called James with that year of birth in my tree, I have pm'd you too.
James was living with Grandparents in 1841 as the first person posted in comments, In 1851 he was still living with his grandparents.
in 1853 she married John Tipper and in 1861 was living with him and James was also there, I dont know where Mary was in 1851 though.
I know nothing of being transported to Australia though?