don't want something to go sour with parents (relationship or just hardships) and that gets used to bail them out. or lack of access used as punishment if she ends up being less than what the parents expected.
Trust fund keeps coming to mind but i don't think those are typically stock based? Can you sign up for an IRA that young and just let some big hedge fund manager pick / manage the portfolio.. Or are you wanting to give say 1 share apple, 1 share facebook and whatever happens happens?