There does seem to be very little, and references are usually to the larger ironworking areas (by the same token, mining songs rarely refer to the Kent or Hampshire coalfields) but the 'Cast Iron' song in Palmer that Bill mentions isn't regionally specific and does have a tune. There is a longer text at Bodleian Library Broadside Ballads, together with another song, mentioned but not printed by Palmer:

A Cast Iron Song & The Cast Iron Man

Nothing at all about foundries and the like so far as I can see, apart from Terrible boiler explosion ... at Ravensdale ironworks, near Tunstall, though of course that's in Staffordshire.

There are probably plenty of modern songs on related subjects; you may have to fall back on those.