The only shanty that mentions Hull is a Bert Lloyd special. (In other words he made it up and claimed he'd collected it, like much of his stuff)
It's a version of 'Heave away me Johnny' (which has other connotations on Hessle Road). The verse goes

' Fare ye well ye Kingston Girls, farewell St Andrews Dock
Heave away me Johnny, he-ee-ee-eave away,
If ever we return again we'll make your cradles rock.
Heave away, me jo-olly boys, we're all bound to go.

If he'd hung around in Hull for a little longer he'd have known that there's no such creatures as Kingston girls (Unless they support Rovers) only 'Ull lasses.

Kidson did a little bit of collecting in Hull and turned up a couple of pieces, but at the time when these traditional songs were being sung nobody in Hull bothered. By the time we came along in the sixties all of the trawlermen were well into C&W and the latest pop stuff.

The only thing we ever got of any relevance was a little one verser about what the fishermen's wives got upto while their husbands were away.