Who wrote "If You Be My Baby"?

[obsess5]

Zillions of lyric sites list Fleetwood Mac as the performers and the writers as Elmore James and "Josea" (?). If I Google ["elmore james" "if you be my baby"], I get all the lyric sites, but no Elmore James-specific information.

The Wikipedia page for the Mr. Wonderful album say the song is by "Adams/Green". Who's right?

Thanks!

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Guitar transcription of Peter's introduction and solo, courtesy of Mario Abbagliati.

Covers by others of Peter Green's Fleetwood Mac songs.