K.:
We are a big fan of Storyland. I have a 6-yo and a 3.5 yo and they absolutely love Storyland and the area. To get the best bang for your buck you should purchase a ticket and enter Storyland at 3 pm then you can use that same ticket for re-entry the next day for a full day.
We stayed for many years at the Foxridge resort and now we are staying at Nordic Village. Foxridge (www.redjacketresort.com) is a hotel and Nordic Village (www.) lmgnh.comare condos w/ full kitchen.
Aside from storyland, there is Echo Lake Park where she could swim. Diana's Bath is a 0.7 miles walk into a waterfall and swimming hole area, but the water is COLD!. And at hotels, you should be able to find swimming pools either inside/outside/both. And there's always shopping at the Outlets.
Family-friendly restaurants: Our favorite and a must do for Sunday Brunch is the Red Fox Restaurant in Jackson. It is 1.75 miles beyond Storyland on Rte 16 in Jackson. Their Sunday Brunch has a large selection and very reasonably priced $7.99 for adults and $3.99 for your daughter. They have a game room for the kids to play in if there's a wait. Good dinner menu also.
Have a great time and let me know if you would like other info. We have been going there every summer and sometimes multiple times in a summer for the past 4 years and love the areas.