Kenmore series 70 fills with water on rise cycle but stops halfway throught then starts agian and finishes is this normal

no
some cycle the agitator during the fill cycle to get better distribution of the clothes as it is filling and then shut of the water and proceed to the wash cycle
have a technician check out the program board

If you can see a constant water pressure from the hot and cold, chances are the water solenoid valves are ok.

I would look towards resetting to factory and checking the main control unit.

probably no parts for a machine that old
consider getting a new unit that is more power and water efficient

Bad timer. Try to find a used one if possible, this item is a little expensive.

Note after reading a bunch of information. I went home and removed the hose from the Level Switch and "clean it", if you will and re-attached. Started a load, and bingo bango bongo, it work. Thanks for the insight.

sounds like the timer to me

Lid switch problem. Press down on lid and try to start machine. Reply.

The problem is most likely the lid switch

yes and also make sure fill tube is not clogged or debreed

Does the water stop when you push the timer in or are you having to shut the spigots off?? If it stops when the timer is pushed in then you have a problem with the pressure switch. There are quite a few tricks to axcessing your machine's components but if you are handy ill attemt to help.