Demand notes are the first type of paper money issued by The United States (that is still good today at its face value). Five dollar demand notes can have the years 1861 or 1862 stamped on them. These look similar to $5 bills issued a couple years later. However, demand notes are much rarer. Five dollar demand notes will typically be found in well used condition. These were a sort of hot potato when they were circulated so they traded hands frequently.