Del. Code tit. 25 § 5718
Upon application of a party claiming to be indigent, the Court may authorize the commencement, prosecution or defense of any civil action or civil appeal without prepayment of fees and costs or security therefor by a person who makes an affidavit that such person is unable to pay the costs or give security therefore. Such affidavit shall state the nature of the action or defense and the affiant's belief that the affiant is entitled to redress, and shall state sufficient facts from which the Court may make an objective determination of the petitioner's alleged indigence.
The Court may, in its discretion, conduct a hearing on the question of indigence. In any action in which a claim for damages is asserted by a party seeking the benefit of this rule, the prothonotary shall, before entering a dismissal of the claim or satisfaction of any judgment entered therein, require payment of accrued court costs from any party for whose benefit this rule has been applied if said party has recovered a judgment in said proceedings or received any funds in settlement thereof. A party and such party's attorney of record shall file appropriate affidavits in the event a claim is sought to be dismissed without settlement or recovery.
25 Del. C. § 5718