Jingle Bells (AKA One Horse Open Sleigh) was composed by J. Piermont in 1857. I have made an attempt to show how the tune may have been played on the banjo around 1880-1890 during the socalled classic banjo era. Its played in the classic banjo style or "guitar style" that is based on the use of three (sometimes four finger).
You can look at the original notation here: http://levysheetmusic.mse.jhu.edu/levy-cgi/datastream.cgi?id=062.044;type=pdf