Neat car Glenn, what a beautiful start!! 1937 was a transition year for the flathead, some 21 stud, some 24 stud blocks depending on what vehicle. If you could get a picture of the engine, we can maybe see what you have there. Side picture and picture of the distributor (if possible) that distributor is tucked in front behind fan. Again, cool ride man.
I'm near 100% certain it's a '37 block with '35-'36 heads with head mounted spigot and water pump at the front. The block has the front water pump opening which is closed with a plate and the '35/'36 style engine mounts. It also still has the 'crab-style' 3 bolt distributor but, because it's a Canadian flathead it's difficult to verify engine numbers and assembly dates because Canadian blocks etc., didn't follow US numbering and identification schemes. What I'm not sure about because I have not looked yet is if the block has the 'tin' side panels - I'll check it out a little later as I continue my research and auditing.
Your block won't have tin sides, that was only on the smaller V8-60's. You will be hard pressed to find any numbers other than the large model numbers on the block or other components. At least anything that is decipherable. In the US there were no serial numbers on the engines, but maybe they stamped them in Canada?
Beautiful ride. RE: Converting from mechanical to hydraulic brakes - Skip right over hydraulic drums and go straight to hydraulic discs, if you plan to do any amount of driving in it. I lived with drums on the front of a '46 Ford pickup for a year before converting to a Speedway disc kit for about $320. If you have the best pair of drum brakes and you're on the road surrounded by disc braked cars you'll still be the low man on the stopping totem pole.