Del. Code tit. 15 § 7710
Candidates for nomination not nominated as provided in §§ 7706-7708 of this title shall be deemed to be alternates to the nominees in their respective groups in the order of the number of signatures which they have respectively received upon their nominating petitions and in the event of the death, resignation or removal of any nominee, the first alternate shall take his or her place as nominee, and so on, ties to be decided by lot drawn by the Department. In the event of the death, resignation or removal of any nominee after the printing of the ballots for such election, the Department shall provide the election officers of each election district with a number of pasters containing only the name of such nominee, at least equal to the number of ballots provided for each election district and the clerks of election shall put 1 of such pasters in a careful and proper manner in the proper place on each ballot before they shall deliver the same to voters.
15 Del. C. § 7710