Senators were elected over a wide range of time throughout 1800 and 1801, and a seat may have been filled months late or remained vacant due to legislative deadlock.

William Hindman won election over Richard Tilghman Earle by a margin of 10.11%, or 9 votes, for the Class 3 seat.

[20] The Maryland legislature failed to elect a senator before the March 4, 1801 beginning of the term.

As such, William Hindman was appointed to fill the vacancy, and retired when a successor was elected.

Robert Wright won election over William Winder by a margin of 39.53%, or 34 votes, for the Class 3 seat.