The "Lazy Mary" with the 'fireman' verse is not calypso, but Neapolitan. It was a hit for Lou Monte some years back. See thread 2837: C'e 'na luna 'mmiezzo mare
Mama also offered a fisherman and a salami merchant in addition to the 'pompero' (the fireman, he'sa gonna pump my daughter), also a polizzio (policeman, with a club in his hand, he'sa gonna ...). Well, you get the idea.

There were several parodies in English, perhap someone put it to a calypso beat. The recorded English versions destroyed the bawdy content; the one I seem to remember was by Bing Crosby.