This is as much as I know.
He was born Thomas Henry Jackson in 1900.. 27th March in Toxteth Park (BMD, 1901 census & 1911 census) although he lied about his age in 1916 when he joined the army. His date of birth from then on varies from 1896 to 1900 depending on who he was trying to convince! Even BMD death regs (dies 1973) is wrong with 1896. I suspect he may well have forgotten his real age.
His mother was Martha Alice Potter and his father John William Jackson.
He married Mary Florence Wainwright in 1921, in Manchester. How he got from Liverpool (1911 census) to Manchester (1916 Army Service Records) I have no idea. In the 1920's he was living at 2 Bennett's Buildings, King Street, Stretford.