There's one other possibility...
Doris Day and Johnnie Ray had a hit (as a duet) in 1953 with a song called Let's walk that-a-way. It's about a courting couple out at night under the moon and the stars, and the lyrics go something like: (forgive mistakes and omissions, please!)
"Let's walk that-a-way, not go this-a-way,
(second like I can't remember)
Let's walk that-a-way, not go this-a-way,
This-a-way only leads to home".
Possible that Chris Barber did a version of it.