MMario is indeed correct.

Dick Farrelly, an Irish songwriter, no doubt more famous for his songs "The Isle Of Innisfree" and "Cottage By The Lee" wrote this song in 1948.   

I got hold of an album several months ago, "Legacy of a Quiet Man" by Sinead Stone & Gerard Farrelly. The CD is a collection of songs by Dick Farrelly (Gerard's father) and includes this song. According to the sleeve notes it was first recorded by England's Anne Shelton and later by Guy Lombardo and his Orchestra and also by a vocal group called the Three Suns.

IF YOU EVER FALL IN LOVE AGAIN
words and music: Dick Farrelly
© Andic Songs / MCPS

If you ever fall in love again
Try to fall in love with me
Nothing new, just we two
Same old moon above
Same old words of love

If you ever share your charms again
Couldn't I be in your arms again?
I love you still
And I always will
If you ever fall in love again.

The link is for S.Stone & G.Farrelly for album or more info.
http://www.stoneandfarrelly.com