It's bit different than the Dawn bikes. This bike has rear-facing fork-ends in back, bolt-up seat stays, and Westwood rather than Raleigh Patent/Westrick rims. The Dawn series has a Sports-type frame and Sports-type wheels.
Are the wheels on your bike 28 or 26 inch?
There are a number of Raleigh models that were sold in other countries and not aimed at the U.S. market. These often are older-looking than they actually are. 1962 is probably right for this bike, and it's one of those foreign Raleigh models.
I think I've actually seen this bike for sale online, but that it was local pick-up only. I tried to buy it, but the guy didn't seem to want to ship (?). Are you selling this bike? I might be interested if you are. I have no winter project yet.