The word "Hornpipe" implies a dotted, almost skipping rhythm. Do not play legato. Use over-legato (slightly detached) for running eighth notes. Play the dotted quarter notes with a slight tenuto, and the following sixteenth note as short as possible.
The most popular "Hornpipe" for organ by George Frideric Handel is the from the Water Music Suite No. 2 in D Major, HWV 349 . It is a festive, ternary form (ABA) piece frequently used for weddings and church recessionals. Free PDF Downloads handel hornpipe organ pdf
Finale 2008a - [G.F.Haendel-Water-music-Alla-Hornpipe-organ] The word "Hornpipe" implies a dotted, almost skipping rhythm