J.H.
I have been working with my 2 year old as well. I really do the same thing as you are doing. I take her and have her sit on the potty for maybe 5 minutes. I have books in there so she can read them. I also turn the sink on sometimes to a trickle and that seems to help sometimes. Another thing we do is I bought a reward chart and when she goes in the potty she gets a sticker. After 10 stickers she gets to pick out a prize. I went to the Dollar Tree and got a bunch of cheap toys and put in a big gift bag and she can pick out of the bag when her chart is full. She gets stickers for other things as well like helping me put dishes away or other good behavior. We have been having luck with everything but the pooping.
Good luck!