The earliest extant voting records in the Secretary of the Commonwealth Collection in the Archives are those of the 1800 elections.
|This topic is well-covered by the wikipedia article 1800 United States presidential election|
Presidential Election Results
The fourth United States presidential election was held from Friday, October 31 to Wednesday, December 3, 1800.
Democratic-Republican Thomas Jefferson defeated Federalist John Adams by a margin of seventy-three to sixty-five electoral votes in the presidential election of 1800. When presidential electors cast their votes, however, they failed to distinguish between the office of president and vice-president on their ballots. Jefferson and his running mate Aaron Burr each received seventy-three votes. With the votes tied, the election was thrown to the House of Representatives as required by Article II, Section 1 of the U.S. Constitution. There, each state voted as a unit to decide the election. 
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- The Library of Congress, Presidential Election of 1800 https://www.loc.gov/rr/program/bib/elections/election1800.html