the original band name was The Producers
The irony is that when they were The Producers they played original material. There are two or three top tunes on their album.
The only thing I know is Barking Up The Right Tree, which is on the Big Stiff Box Set. Is the album worth looking into?
It is very likable if you have a fondness very polished late 80s sounding pop (Art of Noise, Tears For Fears, Cutting Crew, that sort of thing). Not a masterpiece by any means but it has a fair share of earworms. Perhaps
Every Single Night In Jamaica in particular. The album is getting quite hard to find so pick one up quick if you are interested.
I'm not sure what the Stiff connection is as my copy of the album is on an offshoot of Trevor Horn's ZTT label.