N.J. Stat. Ann. § 2A:44-19

If the proceeds of a sale of unclaimed property are paid into the school fund and the owner of the money or his legal representative shall, by a written petition addressed to the director of the division of budget and accounting, demand the same and present satisfactory proof that he is entitled thereto, the said director shall, upon the petition and proofs being filed with him, draw his warrant upon the state treasurer for such sum as the owner may be so entitled. The state treasurer shall pay the same as soon as proper appropriation shall be made therefor.