The Court of Chancery shall make any appointment or direction under §§ 3503-3506 of this title by an order made in any case pending in that Court or upon petition of the person entitled to such conveyance, assignment, transfer or payment. When the title of the person claiming such conveyance, assignment, transfer or payment may require investigation or it otherwise appears improper to make an order for the same on petition, the Court may direct a complaint to be filed to establish the right.