Thomas Woodall, son of Samuel Woodall and Ann Peabody (married 21/12/1892 Staveley, Derbyshire) - his birth reg'd Sept.qtr. 1893 Chesterfield (regn. district for Staveley) mmn Peabody, was baptised 9/8/1893 Staveley and 1901 and 1911 census confirm he was born in Staveley.
He married Alice Maud Neale 5/4/1915 Owston, Yorkshire (as earlier stated).
He definitely wasn't killed WW1 (as you say yourself, he returned to Doncaster after the war and worked at a colliery, fell off a roof and injured his back) - indeed, he appears to have died in Doncaster, Dec.qtr.1937 aged 44.
You begin this thread by stating 'Thomas Woodall bc.1893 Coventry, moved to Doncaster'. As birth, baptism and 1901 and 1911 census' all show Thomas Woodall was born 1893 Staveley, Derbyshire and he did indeed move to Doncaster.
Army record (Pension Ledgers & index cards) shows he was a Corporal in Grenadier Guards, regimental number 15577, address Highfields (Doncaster district), Yorkshire. Plus he is listed in Medal Index. However, there are no service or pension records for him (you have to remember that 60% of records were destroyed due to enemy bombing in WW2 - including those for both of my own grandfathers, alas).
There are no other army records available in which he appears so not possible to give you any more information about him, other than what you now seem to know.
Annette