Although Jesus built his own cross, by trying to change the world, then had to carry it, I'm pretty sure the song title you are trying to find is "Jesus was a Carpenter".
And all I can remember of the female singers of the 60s was someone like Joni Mitchell, or.. mind's blank.
Can't find it in DT, but am going through an AltaVista search - some 500 hits for "Jesus was a Carpenter".
So far only references to the song are:
Johnny Cash (not female)
There's a lot of references to Elvis, wheww...
That's better "-elvis" takes it to 288
So, here goes again...;)
You'll find a midi file (can't be bothered doin' the blue clicky thing at)....
But, it doesn't sound like the tune I recall..|>(
You'll find the Johnny Cash version on record
1970 Hello I'm Johnny Cash CS 9943 / CBS 63796
Southwind; The Devil to Pay; Cause I Love You; See Ruby Fall; Route 1 Box 144; Sing a Traveling Song; If I Were a Carpenter (with June Carter); To Beat the Devil; Blistered; Wrinkled Crinkled Wadded Dollar Bill; I've Got a Thing About Trains; Jesus Was a Carpenter. (produced by Bob Johnston)
Sorry Beanster - have to give up - my connection is shot - I've only got ¼ way through the AV pages, and keep getting 404s.
BUT - I'm positive the song you're looking for is "Carpenter", not "Crossmaker"..
Will try again tomorrow if you have had no luck.
Cheers - Sam