Yes, I've been looking for this for nearly 50 years and haven't seen a UK 45 copy yet. The kids issued at least one more recording, ‘Red Light, Green Light’, which appeared on a compilation Jubilee album, ‘Boppin’ (1960).
Yet another example of music industry professionals creating a product and inventing a disposable group name. Composer Ben Weisman was a staff writer at Hill & Range, owned by Jean and Julian Aberbach, and in 1955 already one of the biggest independent music publishers in America. Ben and his brother(?) Al came up with a mood concept and these tracks were recorded using professional New York studio musicians Michael Chimes, Billy Mure and Tony Mottola. If it's not a hit though, not to worry, we'll move on to the next product. Only a few years later Hill & Range had something of a stranglehold on what Elvis Presley recorded and Ben Weisman (and Hill & Range) obviously made a great deal of money from the Elvis connection. I guess the British London issue of this Coney Island Kids record is pretty rare on 45 as a scan hasn't appeared on 45cat yet.