... trouble matching up the script font for "The Life Line" part.
Good luck with that. It looks to be a signmaker's font, similar to what we call in the trade a "display face". These typefaces come and go with frustrating regularity in the regular typography market, and then the market is cluttered beyond hope these days with hundreds of kitchen-table artists hanging out their font-design shingle. When clients would come to us with "match this!" requests, I knew it was going to be hours of poring through sample books and (eventually) online, a service for which we were rarely compensated.
I suspect in this case it would be specific to a certain sign artist or signmaker supply company of the day. Bear in mind the era, when these kind of specialty companies were local in nature and had little bearing on styles and trends elsewhere.
If it were of great importance to match the font for, say, a whole alphabet, I would be looking to San Francisco-area (SP HQ) historic sources for more samples on other signage. Otherwise, the only way to get to an accurate match for the banner will be from a photograph, adjusting the perspective in something like Photoshop, and then tracing it in Illustrator or Corel Draw if the photo isn't sharp enough to make a decal directly.
The HO car artwork looks like a close trace. In comparison to the proto pics I see some areas where they missed, especially the spacing (lack of "kerning") after the caps, and there are minor errors in "contrast" (thick vs. thin lines).