Hi Chris,
Sounds like a great project.
Time Guitars used what is called 'Decalomania'. This is a paper backed release decal that was silk screened with lacquer 'ink' along with a lacquer overlay clear coat. After it was applied the subsequent finish coats would 'melt' this lacquer ink. This is very different than what you see on a Fender, Gibson, or what ever guitar. On those guitars you can see the decal outline in the finish. This method was popular with builders during the 1920/30s.
We only used Black or Gold decalomania logos.
Our logos were made for us by Joan, who ran a sign/silk-screen shop in Burlington. I'm sorry but I don't remember her last name.
The reason I'm telling all this is because all these were lost in the fire.
You may have luck Googling for Decalomania. I found quite a few sites that explain the process.
The alternative is to use a ink jet with special decal paper. You can find that by Googling also. This is not as cool as decalomania but it should work.
Here's a logo pic.
The logo was the same one we used on our letterhead.
You could also PM SollyDad. He might have some.
Check his post here.Thanks and keep us posted during your restoration.
Chris
P.S. I may move this post to the 'How They Were Made' section.