The vignette on the reverse of the five-dollar bill depicts the Lincoln Memorial. You may be aware that, engraved on that Memorial are the names of the 48 states in 1922, which was the year the Memorial was dedicated. There are engravings of 26 State names on front of the building, which appears on the note vignette. As a result, only 26 of the States appear on the note. The upper frieze of the Memorial bears the States of Arkansas, Michigan, Florida, Texas, Iowa, Wisconsin, California, Minnesota, Oregon, Kansas, West Virginia, Nevada, Nebraska, Colorado, and North Dakota. The lower Frieze lists the States of Delaware, Pennsylvania, New Jersey, Georgia, Connecticut, Massachusetts, Maryland, Virginia, and New York. In addition, the engravings show the abbreviated names 'Hampshire' for New Hampshire and 'Carolina' for South Carolina. We have no information why the prefixes for these states were not used.
https://www.wordnik.com/lists/names-of-u-s--states-which-appear-on-the-five-dollar-bill
http://www.centercoin.com/currency_information_five_dollar_bill.php