Well Folks, Duh!!
I feel like a real Dummy!! I re-read all of the postings that were so greatfully replied to me and decided that there must be something amiss, so I tore back into the Lathe. Well I took the Carriage apart again, and took out the Split Nut, cleaned out all of the grease and guess what, some of the threads were buggered. Evidently, when it was molded some of the threads came out not formed and when the half-nut was threaded the threads didn't turn out so good. Eventually by using the Power Feed it worsened the threads and caused the Lead Screw and Split Nuts to bind shearing of the 80 tooth Plastic Gear!!
Now, in addition I am going to inspect the Lead Screw with a fine tooth comb!!
I hope nothing else is bad. Anything else you Gentlemen suggest that I do.
Ok Grizzly here I come. I guess a number of your suggestion are correct in inspecting and THOROUGHLY cleaning the equipment before operation!! A word to the Wise!! Well, with diligence, WE finally found the problem and my heartfelt Thank You to you All.
That's what happens when you are a Newbie!! Thank God for this Site and all of your help!!
Merry Christmas,
Ron, w6br