Del. Code tit. 10, § 4977

The grantee in any deed, executed under § 4976 of this title, shall hold the premises therein conveyed, with all their appurtenances, as fully and amply, and for such estate and estates, and under such rents and services, as the person or persons, for whose debt, or duty, the property is sold, might, or could, do at or before the taking thereof in execution.