V., You didn't say how young your young daughter is but here is what we did.
My son is 9 (an only child). We disconnected our home phone due to lack of use. Then we realized that our son had no way to call his friends or have his friends call him. I own my own business so I can't have his friends calling my cell which is my work phone. So...
We had the Easter bunny bring him a pay as you go phone. It cost us $20 with no plan. Being a boy he doesn't talk a lot on the phone so it seemed silly to add him to our plan. We pay about $25 every 90 days or so and usually he has a balance left anyway. The rules are:
*it is a house phone---not his. Although being an only child it is virtually his.
*it never leaves the house unless we tell him it can. This gives us the safety of a phone for him while out being a kid but the control of how the phone is used.
He knows if he breaks the rules we will not renew the phone so it has never been a problem.
While this system won't work for everyone it works for us.
Good luck