According the information I have, these are the children of Capt. Harry Alison (1775-1867) and his wife Frances Sinclair:
Jane Alison (1805- Rowland Hill Alison (1809- Charles W. B. Alison (1811-1872 Brisbane Alison (1813- Frances Maria Alison (1815-1901) [born in Paris during the Battle of Waterloo, 1815) She was my GGgrandmother and her eldest daughter, Frances Maria Alison, married a Rothwell.)
I see a Charles Alison (1777-) and a Mary Alison (1779-)Is it possible that your Mary was the sister of Capt. Harry Alison?The father and mother then would be Charles Alison and his wife, Jean Maxton.
If you have any info at all let me know and I'll delve a little deeper. The main problem to me in researching ancestry is the recycling and re-recycling of given names. .Pat