Side A is from the 1960 musical "The Most Happy Fella". Side B is from the 1958 musical "Flower Drum Song".
Listed in booklet 'The New Records', May 1960 (covering April 1960 Releases).
This is on a compilation called "Haynes Ultimate Guide to the 50s". But this is from 1960, surely? The fact it's from a musical, "The Most Happy Fella", suggests why it might be a 50s track. The original US release was from 1956, the year that the musical hit Broadway. 4-40674
But as was often the case, the Brits had to wait a few years for the show to make the West End, where "TMHF" opened in 1960. So Brits and Americans will have a different memory of when these tracks were hits!