From the Oxford Online dictionary:

reel

• noun 1 a cylinder on which film, wire, thread, etc. can be wound. 2 a part of a film. 3 a lively Scottish or Irish folk dance with music in simple or duple time.

• verb 1 (reel in) wind on or bring towards one by turning a reel. 2 (reel off) say or recite rapidly and effortlessly. 3 dance a reel. 4 stagger or lurch violently. 5 feel giddy or bewildered.

jig

• noun 1 a lively dance with leaping movements and music in compound time. 2 a device that guides tools and holds materials or parts securely.

• verb (jigged, jigging) 1 dance a jig. 2 move up and down with a quick jerky motion.

hornpipe

• noun 1 a lively solo dance traditionally performed by sailors. 2 a piece of music for such a dance.

Don't be embarassed. Another thing you learn with age is to be sure of definitions before you start flinging them around.