Well the guys at rec.antiques.radio+phono helped me update the circuit in my Admiral and my Retrace Lines are completely gone! YAY. Apparently Admiral was always in a big hurry to get their products to market. It turns out that my chassis was part of Production Run #3 and there were 13 different production runs in total on this model. By Run #13 there was a fix in the circuit to prevent Retrace Lines and someone was kind enough to look up the fix and explain the necessary circuit changes to me (in easy to understand newbie terms that is).
And to think before I started learning how to restore vintage television sets I acutally thought of taking the old chassis out and sticking a new remote controlled color TV in the cabinet. That would have been a terrible thing to do to this wonderful antique, it is so much more fun to have the original working beautifully again.
Look how beautiful it came out! I just installed it in the dining room. Here is the Admiral playing a 1949 commercial for Joy dishwashing liquid from when the set was barely 1 year old...
http://www.classicappliances.com/TV/...-Completed.jpg
Thanks again guys for all your help and replies.