If the bank provides any kind of "overdraft privilege" type service on the parent's account, I think the bank would be on really thin ice if it allowed such an overdraft and then decided to use offset against the kids' account to recover the debt. It might win the court case, but it would lose in the court of public opinion.
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John S. Burnett
BankersOnline.com
Fighting for Compliance since 1976
Bankers' Threads User #8