I live in NH about 1.5 hours south of Jefferson (Santa's Village).
The campground that Disneynutbsv is referring to is called: The Lantern Resort. They have a motel/hotel in front and campground in the back. It's a small campground, very clean, 2 heated pools, activities for the kids, large playground, campfires and hot tubs. The have a website:
http://www.thelanternresort.com/
It's walking distance to Santa's Village. We go every Memorial Day weekend.
As for Story Land. We too want to go there and haven't found a campground yet. Story Land is in Glen, NH on the other side of the mountain from Jefferson. I think it will take you 45 min to 1 hour from Jefferson to Glen.
Hope this helps.