I would say wait on taking your child only because kids at that age aren't really interested. I teach in NH, but have actually been to where the story takes place (in MA.). Kids start learning about NH history around age 10 (4th grade) around here. That's also the age where I saw where the story of "The Crucible" takes place. I also hate scary stories, and while the subject matter of "The Crucible" isn't particularly scary (it's my favorite Arthur Miller play!), the story may seem a little linear to the average 10 year old
Do your research on the play. If you think it is something that will hold her interest, then by all means, take her. You know your child best, and therefore are in a better position to gage her interest. If you decide to go, I would talk about "The Salem Witch Trials" so that she understands that it actually happened. I would also talk with her about mass hysteria, since that is the focus of the play. If you can, take her to The Witch Museum in Salem, MA. They take you on a tour of Abigail's house and to the room where it all started. When I read the play years later (most of the time getting to read Abigail's part in class!), memories of seeing where it all started really drove the story home for me.