Nitty-gritty: Which etymology is correct?

I have heard of two origins for this term.

The first says that the word was used by black Americans in the early part of this century to refer to the clitoris. The word gained wider usage after the R&B record “The Nitty-Gritty” was released in 1963. Here’s my cite: http://whusfm.saup.uconn.edu/SoulExpress/soulbio3.htm

The second says that the words refers to slave owners systematically raping the women and girls on a slave ship. By the time they got the the bottom of the ship, the slaves were nit-ridden and grit-covered. This one came from a police officer, who was told while on a course that the derivation of the word made it very offensive to the British black community.

My UL detector is flashing wildly at the second one. Of course, if it’s a widely believed UL, then the word is still offensive. (q.v “squaw”)

I’d like to know the correct origin of the phrase.

Here’s one origin, from http://www.briggs13.fsnet.co.uk/book/n%20&%20o.htm I don’t know the guy’s qualifications, but this does seem to be well researched.

With a date of around 1963, it’s unlikely the slave ship origin is true.

The origin I heard was that it was of Black origin, but did not refer to the clitoris, but to the innermost reaches of the vagina.

I seem to recall having read that there were some old ribald Black blues sort of songs in the early-to-mid 1900s with the word “nitty-gritty” in the title, but I don’t know any off-hand. Lyrics in those songs might provide a much better clue.