First recorded by The Willows (US #62/R&B #11 1956).
Other hit version by The Diamonds (US #14 1956).
From the wiki: “After two flops as ‘The Five Willows’ in 1954, the group hit as The Willows in 1956 with ‘Church Bells May Ring’ (which featured an uncredited Neil Sedaka playing the chimes). The recording blasted to #11 R&B but died at #62 pop due to the Diamonds’ #14 Pop cover.”