I don't know if "correct" is the right word:I can add to it and let you know where my research differs from yours, but I'm not prepared to say that my information is more correct than yours!
My research is that in 1875 Robert Purvines married the fifteen year old Caroline Price.Robert had emigrated in about 1869 and he and Caroline resided at Evans Plains in the vicinity of Caroline's parents, William and Demeteries Price.The Purvines had five children:Matilda Gordon Purvines (1877-1880), Elizabeth Mary (1880), Thomas (1882), Letitia (1884) and Annie J (b 1887).Robert died of heart disease the day that Caroline was confined for the birth of their youngest daughter.The informant on Robert's death certificate was David Gordon of Poor Mans Hollow (this was the emigrant David).Caroline remarried, in 1889, to James Miller and continued to live at Evans Plains until at least 1894.She died at Penrith in 1935.
I have not heard of Purvy in Donegal: all my research states that they lived in Urney, Co Donegal. This is in the same vicinity as Ballought and Ardstraw, where the Gordons lived.
One of Thomas and Matilda's daughters remained in Ireland:Margaret Purvines married the widower William Wallace of Tullywhisker on 13 February 1856.
I haven't heard of the Donegal Relief Fund.As far as I am aware, the emigration of the Purvines was a result of the emigration of their cousin (through the Kilpatrick line) the Presbyterian Reverend Cunningham Atchison.On board the Coromandel with Catherine and Anne Jane in 1838 were Samuel and Rebecca Atchison with two of their daughters.There is a strong sugggestion that the Purvines girls came out under the protection of the Atchisons. On board the Ebba Brae with Rebecca and Letitia Purvines in 1855 were more cousins, Samuel Atcheson, Margaret Atcheson and William & Robert Campbell.there were more Atchisons on board the Moffat in 1841, emigrating with Alexander Crilly.
I don't know how much of this interests you, but thank you for sharing your research with me.