Del. Code tit. 25 § 2727
On the return of the writ of attachment or summons the Court may, upon petition of any person claiming to have performed or furnished labor or materials at the request of the plaintiff or plaintiffs in the attachment, appoint 3 suitable persons to audit and determine the claim of the plaintiff and also the claim of the petitioner, who shall adjust and ascertain all the demands, including that of the plaintiff in the writ. The auditors shall severally be sworn or affirmed to perform their duties according to the best of their skill and knowledge. They shall give 10 days' notice to the parties of the time and place of their first meeting by advertisement, posted at the courthouse door and at least 5 other public places in the county. Their subsequent sittings shall be by adjournment duly made and publicly announced. They may investigate any claim presented in any form they judge best and may examine any of the parties upon oath or affirmation. On receipt of the proceeds of the sale of the property attached or against which judgment is obtained or any part thereof, the auditors shall calculate and settle the proportions and dividends due the several parties and shall make report to the next term of the Court after such appointment and, upon confirmation of the report, pay over to the several parties their respective share of the proceeds according to such appointment. The Court may hear exceptions to and correct such account and report, either in the calculations, dividends, apportionment, or otherwise.
25 Del. C. § 2727