Assuming it has axles, you will have 5" BHC pattern which is the same as Mercury. All of the parts are available from NAPA or Rockauto(except drums) but you will have to look under Mercury for many of the parts. As stated above, this was the first year of self adjusting brakes and those parts are also available. This is a Ford 9" rear end and parts are pretty much interchangeable with Ford other than the wheel bolt pattern.
Having said the above, there are differences in the 9" over the years. For example, if you stay with the original chunk and go to buy a pinion seal, you will note that the later models used a much smaller outside diameter seal. Assuming this is not an issue, you can buy all of the parts as stated but you will have a problem finding the drums if they are not with the car. You will have to use Mercury or go to the smaller Ford BHC axles, drums, shoes and wheels. Of course you will either have different front and rear bolt patterns or you will have to use Ford front hubs. I don't know if the Ford hubs will bolt onto the Edsel spindles or if they will also have to be changed.
Best bet would be to contact an Edsel dealer and get what you need. You can find them in Hemmings or Google for parts.