Alvin Drysdale.
The early ones are labeled "Velox" and the later ones are labeled "Drysdale." I have an early track bike, low end model called "Alvin."
I am no expert, but I've been trying to learn what I can about Drysdales for a few months now. Drysdale is one of very few American hand-made bicycle makers of that era. I don't suppose there's many of us that can think of a half dozen names. American handmade bikes from the 50's are so rare that people who collect them are also rare; oddly, this seems to reduce their value in comparison to much more common bikes of a similar quality from other countries. At any rate, I assure you what you have is a highly desirable bike, worth a very careful restoration, and there are a lot of people who would be thrilled to do that. If you have any second thoughts about that, if you're unsure of whether you really want to commit yourself to that, you probably shouldn't do it.
Please show us pictures before you strip the paint off! If the decals are still present, it's probably a very bad idea to repaint. If you have any concern for the bike's value, in terms of money, repainting it reduces the value considerably. Even aside from that, we tend to frown on repaints here, so be prepared for a chorus singing "don't you dare paint that!"