W.S.
Well I was using cloth diapers with Velcro wraps and I had the same problem...I put the diaper on backwards, with the sticky tabs in the BACK and that solved it for me. It looked a little funny and didn't fit perfectly but it worked.
The other thing is putting onesie shirts on her that button at the crotch, and she won't be able to get her diaper off because the clothes will be in the way.
My daughter was potty trained at age 2, but there were lots of accidents. A friend told me to give her a tiny treat, like a yogurt covered raisin, or a tic tac, every time she went on the potty, and that stopped the accidents. I would think 16 mths is a little young yet, wait until 18 mths and you'll see a big difference in terms of communication, understanding, etc.
Hope that helps!
Blessings,
Lynn