This was a song written for 60s American television show, The Twilight Zone, a series where ordinary characters found themselves lost in strange, supernatural stories. It's sung by the actress Bonnie Beecher. Her voice is the kind that can drift through your ears, into your bones and haunt you.
Here is the clip from the weird episode it appears in, Come wander with me.
Some of the the other episode descriptions sound wonderfully bleak.
Time Enough at Last - A bookworm finds himself blissfully alone with his books after a nuclear war.
The Midnight Sun - The Earth falls out of orbit and two women struggle to cope with increasingly oppressive heat in a nearly abandoned city.
The lonely - A convict lives exiled on an asteroid.