A friend of mine has given me this to refurbish. He says it belonged to his Grandma's brother who used to play in a band back in the day. There's no name or serial number anywhere on the body or headstock as far as I can see.

Does anyone here recognise it?
ᶌῖᶌα ɭα ɌεᶌσɭƲʈιʘϰ
From the portion I see, it looks like the same knobs and similar pickups as my 1965 Teisco (which is a solid body). I think they used other brand names at times, but those similarities imply that it is a Teisco or similar.
Could be Teisco or Kingston but I can't find an exact match by either.

Could also be one made by Teisco, they made a lot of unmarked guitars anyone could slap a sticker on.

Google for Teisco and Kingston and look through the images, you'll find several pretty close to that one.
Hmmm...I wonder what this button does...