When was it recorded? Aug. 1, 1963
When was it first released, and on which album? Nov. 30, 1994 on “Live at the BBC”
Who wrote it? Richard Penniman
Have I heard this song before? No
What my research dug up:
Little Richard wrote “Ooh! My Soul” and released it as a single in Jun. 1958. According to the Beatles Bible, “It was a minor transatlantic hit, reaching number 31 in the US and number 22 in the UK.” (Despite this, it lacks a Wikipedia page.)
The Beatles recorded “Ooh! My Soul” exactly once – for “Pop Go the Beatles” on Aug. 1, 1963. It aired 26 days later and appeared on the first “Live at the BBC” compilation.