I believe there might be more than one song with that title.
The version I have on tape was recorded by Nick Fenwick maybe twenty five years ago possibly longer and was written by a Hartlepool man by the name of Alan Todd. Alan was well known on the local folk scene and wrote quite a few songs peculiar to Hartlepool Sea Coal Warrior being one of them. Alan passed away some years ago.I'll give you the first verse and chorus.

Three o clock on a winters morn
And the tide is on the turn
Drag your body out of bed
Seacoal's good to burn
The north east gales will bring it in
While they cut you through and through
No matter you get soaking wet
Or if your hands turn blue
Getting coal for the fire

coal for the fire
coal for the fire
coal that'll keep the kitchen warm
coal that'll keep the bairns from harm
coal for the fire