Well, after I got one of the plumbing partners back here two weeks ago, he never made one slight adjustment to it. He simply told me he hated Kohler toilets (I have never had a problem with them) and I needed a Gerber toilet. This is after three months of messing with it, including three visits to my home. He installed two new Fluid Masters which included the ballcock and flapper, both times.
I need to give credit where credit is due, thanks to all of you that helped. Several people told me that the next time the toilet continues to run, to take the tank lid off and see what happens. If the water continues to drain past the hole, it is a flapper problem. This is exactly what was happening.
I called the plumbers back, and luckily got the one that I really liked, and I told him I was certain I had a faulty flapper, yep, this would be the third one. I told him what was happening. Before he got there, last Saturday, I took my hand and felt around the flapper to be there were not rips, cuts, etc. in it. I also wiped around the tank floor in case there was something holding up the flapper.
He installed another new flapper and I am happy to report it has been working ever since. It will be a week tomorrow, and I have used it heavily. I even instructed my company to use it. LOL
I find it hard to believe that it could have been three faulty flappers.
I hope I am not celebrating early, but right now it appears to be good to go.
Happy New Year everyone, and thanks so much for all of the great help. This group rocks!
Kate