Yes the marriage is essential.
There are these O’Neill/Thompson births around that time
1938 - female, Coventry
1942 - male, Coventry
1943 June quarter - female, Warwick * the one you refer to
1943 December quarter - female, Coventry
The marriage you quote was 1939 , Coventry and the couple can be seen in 1939 register.
It all looks favourable.
The female born 1938, Coventry is also in 1939 register with a different mother.
I asked earlier, were there any O’Neill siblings?