Good morning, Tara.
My Irish ancestor Ann HANLIN nee DONNELLY, born 1796 in Lisnadill, Armagh, was the widow of James HANLIN when she applied for free emigration to South Australia.
Her children were Thomas b 1811 (came with his wife Ann), James,b 1815, Letitia ( my ancestor) b 1824, William, b1827 and Ellen b 1832. The ages on their application forms varied of course, but those birth dates are pretty close.
They applied for emigration in early 1839, and were aboard "Tomatin", which left Greenock on 25th October 1839, arriving in South Australia in March 1840. This was only three and a quarter years after the colony of South Australia was settled. Perhaps it was the death of her bread-winner husband which prompted Ann to emigrate?
Hope this helps narrow down my search,
Thank you, Meredith