Thank you for your help on this.  I will try and get things organized and the train(s) set up in the next week or so.  I will update on the progress. 
I am a first-time user here, so bear with me, lol.  Again, thanks for the help.

I found the Powermaster for the 1962 HO train.  It has two connectors, one AC, one DC.  Here is what the top of the controller has on it:

2 Amps
115-120 volts, 60 cycles, AC
Model 200
12 volts DC; 16 volts AC

Made by KF Industries, Philadelphia

I hope this helps.  We do have a train store in the Denver area called Caboose Hobbies.  I may have to go there and see what they say.

I honestly don't know if it runs on AC, or DC.  I will have to look.  I haven't had the train out for years.  I think I have everything that came with it, all-metal locomotive, cars, tracks, buildings, etc.  I'm going to set it up (the new one) in my basement, but I have to do some rearranging and cleanup first, lol.

I have an HO set that I got for Christmas in 1962.  I was in France at the time, and the set was made by Fleischmann.  Of course, the electrical current is different in Europe.  I just got a new HO set for Christmas (Jingle Bell Express).

My question is will the Fleischmann run on the new set?  I haven't had the time yet to set it up, or try it out.

Thanks