Well, yesterday I let it all hangout and bared my soul in a post. It was hard to admit that I wasn't half as smart as I thought I was.
Thanks to the people who made comments and suggestions as to what was wrong. Some of you will see that you were right. I was hoping to find someone with and ipod nano and the same problem.
So it was a very simple problem. There was absolutely nothing wrong with the ipod nano. The plugging in of the ear buds was the problem. I was too gentle with pushing the connection together into the ipod. It didn't look right or feel right and I didn't want to push too hard and break the fragile thing.
So how did it get fixed? My neighbor Tracey across the street , the one with the two teenagers , gave me a hot tip. I meet Tracey once in a while when she's walking her dog. I noticed one time that she had the same ipod. So the other day I said to her, "I'm going to give you my ipod and see if you can get it to work." So she asked me what was wrong with it and I told here that it usually would only play for a minute. She told me that she had exactly the same problem with hers. She had read and reread the manual and decided that the problem was with the connection and one day pushed it until it clicked. Immediately , I knew that that was the problem with mine. I went home right away and pushed the cord much harder and sure enough it clicked and the ipod never cut out again.
So my thanks to neighbor Tracey for giving me the hot tip. And I still didn't have to lower myself to get the teenagers to help me. No offense meant to the teenagers as they are great and wonder people to have for neighbors.