Whats the best digital camera for a newb 50+ woman and at about $100 maybe little more or less?

and has to have a rechargeable battery

Go a little more and get an entry level Canon, Olympus, or Nikon. Or a mid-level Kodak. The Canon A540 is a nice little digicam, you might find it for about $150.

samsung 630

You should get the PENTAX Optio W30. It has TONS of features, VERY good picture quality, its sleek & stylish. And to add to all that, its waterproof! You can see the camera here: http://www.pentaximaging.com/products/pr...
I have had the PENTAX Optio W10 (a slighty older version) for a few years now and I absolutely LOVE it!