K.F.
Start by asking her if she has to go to the potty as you put her on. Tell her that if she feels like she needs to tee-tee, to tell you that she needs to go on the potty and better yet, either get her a potty chair or one of those adaptors they make for the toilet seat and the stool if she is coordinated enough to do it herself. The pooping is always interesting because many kids perceive it as a part of themselves and it freaks them out. My parents managed it with my daughter by teaching her to wave as it went down the toilet, who knew?
When I was raised, kids were potty trained at 1 year, the parents were really doing it but it was common practice to get the kids out of diapers. As long as she continues liking it just encourage her but they sometimes backslide so don't get into a power struggle or make a huge deal out of it. This is actually pretty traumatic for many kids because of the way that the parent handles it.
Also, always try to get her to go before you leave the house to go to the store or wherever. One of the difficult aspects for the parent is the propensity for the child to say they have to go NOW when you are in the checkout line at the grocery store, or somewhere else you probably don't have a snowball's chance in you-know-what in getting them to a bathroom. Always carry a change of clothes with you if you venture out without pullups.