Fender 1968 "C"??

Very cool old warrior! that's my Thoughts.

 

23 is the code for a Telecaster Bass. October 1968 C width at the nut. (1 3/4)

 

Yup, exactly what Deluxe said^.

Regular Precision necks were 5.
Jazz Bass necks were 7.
Tele Bass necks were 23.

A = 1-1/2" width.
B = 1-5/8"
C= 1-3/4"

 

The neck stamp doesn't say anything about the color. It was probably a 1968 Telecaster Bass in the pink paisley if you found that color in the neck pocket. Most Fender basses are 2 and more often 3 or more pieces. Even the sunburst ones, so that isn't unusual at all. The number of pieces doesn't say anything about the color either for that reason. If there's a paint stick outline in the neck pocket that's surrounded by the pink color you mentioned, I would assume it was pink paisley.

 

Actually, I have yet to see a Tele Bass with a one-piece body. And I've seen quite a few.

My own '71 - originally a CAR - was a two-piece. A '69 belonging to a very dear friend of mine which left factory as blonde shared the same story. I've seen some three-piece bodies as well, mostly on second generation.

As for Fender having info that you're looking for...extremely unlikely IMO.

 

Your bass, your call, my unsolicited two cents are as follows:

I wouldn't lose sleep over what the original colour was. It's long since gone, and if it was some type of Paisley you have next to no chance of restoring it without spending an absolutely insane (IMO) amount of money.

Ask yourself which colour would the bass look good in, something that would suit your taste, and take it from there. There's no shortage of competent luthiers who could perform the work once your mind has been made up.

Good luck.