Constitution of the State of Delaware, Art. III, § 3. Election returns, publications;  election by General Assembly

The returns of every election for Governor shall be sealed up and immediately transmitted to the President of the Senate, or in case of a vacancy in the office of President of the Senate or absence from this State, to the Secretary of State, who shall keep the same until a President of the Senate shall be chosen or returns to this State, to whom they shall be immediately transmitted after the President of the Senate's election or return to this State, who shall open and publish the same in the presence of the members of both Houses of the General Assembly.  Duplicates of the returns shall also be immediately lodged with the Prothonotary of each county.  The person having the highest number of votes shall be Governor;  but if 2 or more shall be equal in the highest number of votes, the members of the 2 Houses shall, by joint ballot, choose 1 of them to be Governor;  and if, upon such ballot, 2 or more of them shall still be equal and highest in votes, the President of the Senate shall have the casting vote.