Late in 2013 I was gifted a 1997 Squier Precision Bass by my sister in law.
She had some of her employees cleaning out the basement of her place of business
and they found it under a pile of forgotten things.
She brought it to me and put it in my hand. The case was kind of moldy and the
neck was warped and the hardware was all corroded and the instrument itself had
mildew and other life forms growing on it. It had been left there by a former employee
who was not coming back. The P/G looked like it had been zapped and melted by
aliens.
I decided, "If I can get the neck straight, I'll take this on as a project."
I always like a project.
Here's a link to a thread that I posted over on ETSG on this instrument
It's a lot of reading, so if you don't like to read that much, bleep over.
New Unexpected Bass Day! ... a "down the basement special!" ...or, as others have posted: ANOTHER RESCUE WARNING! LONG POST DISCLAIMER... If you don't like to read long posts, skip down. I'll prolly post some pictures tomorrow or the next day. Today I looked up from my work to see my...
everythingsg.com

Long story short: I was able to put that bass back in service.
I replaced nearly every piece of hardware... the only original Squier parts
were the body, the neck and the frets. It was no longer a Squier bass,
not only did I sand off the headstock decal, but I threw away the rusty
neck plate, so it was a Bass with no name AND no serial number.

It was so black, it could not be any blacker, so I named it Raven.
I also thought the headstock looked kind of bare, so I carved a Raven
out of a spare piece of ebony headstock veneer and attached it with
small nails, one of which was brass and was positioned to be the
Raven's eye.

Raven gave great service after we got the neck straight and got her set up.
I replaced all the electronics, I installed a Fender "Vintage" P-bass pickup and
a wiring kit from Stewmac... "Alpha" pots & Switch Craft jack.
I sold that bass in 2019 along with so much other stuff, now I only have my Warmoth fretless
J-Bass. But that one's my dream bass, so I'm happy in my retirement
To answer the OP's question: What do you call a bass with no name?
Answer: STOLEN