The first is by Martin Denny, the second by Arthur Lyman (who left Denny's band to make his own mark.) I lean towards the Lyman version but there are for sure lots of versions of this song out there. It is THE song to do. :)
Although I am fairly sure Les Baxter did Quiet Village as well, let's leave him with a different song that I like "Hong Kong Cable Car" (which Denny and Lyman have probably done as well. :) )
