I've got everything Frankie recorded from his first single (1944)
through his stay at Columbia (1964) and about 2/3s of his music from
1964 on.

Frankie actually recorded ANSWER ME both ways (the non-"religious"
version for South Africa).  There's very little difference (as noted in
the posts above).  Apart from switching the person/entity being
addressed from "Lord" to "my love" and "sweetheart," there are some
very minor grammatical changes.  The arrangement is the same on both
records, including a few organ strains in the opening notes.

Here's the "religious" version:

Answer me, Lord above
Just what sin have been guilty of?
Tell me how I came to lose my love
Please answer me, O Lord

She was mine yesterday
I believed that love was here to stay
Won't you tell me where I've gone astray?
Please answer me, O Lord

If she's happier without me
Don't tell her I care
But if she still thinks about me
Please let her hear my prayer

Let her know I've been true
Send her back so we can start anew
In my sorrow may I turn to you?
Please answer me, O Lord.

And, here's the "love song" version (same lyrics as Nat Cole's):

Answer me, O my love
Just what sin have I been guilty of?
Tell me how I came to lose your love
Please answer me, sweetheart

You were mine yesterday
I believed that love was here to stay
Won't you tell me where I've gone astray?
Please answer me, sweetheart

If you're happier without me
I'll try not to care
But if you still think about me
Please listen to my prayer

You must know I've been true
Won't you say that we can start anew?
In my sorrow now I turn to you
Please answer me, sweetheart.

***
One interesting point about the song is that it was later discovered to
have subliminally influenced Paul McCartney when composing YESTERDAY.