It looks as though they didn’t marry in UK.
If that is Henry in 1851 and married to Ann Preston Jackson, I can’t see any births for that couple.
You know that Ann Cornwall married Joseph Wood and they too may be in 1851 as ‘Hood’ . Again, there does not seem to be any births for them.
You then have Henry Bailey Thompson born in 1857, in the right area for the 1851 couples.
For them to marry legally, both partners would have died 1851 -1856.
They must have moved to Manchester 1857-1859 - more likely later as Henry’s baptism was early 1859 in Manchester.
I hope someone can find a marriage - it may have been mistranscribed.
The Jackson/Bailey marriage might prove it is the right Henry and give more information.