What are 'gadfly' and 'gadabout'? Are they related?

GADFLY: that bite or annoy, any of various flies that bite or annoy livestock; a person who stimulates or annoys other people especially by persistent criticism; a political gadfly. GADABOUT: originally referred to ''one who gads or walks idly about, especially from motives of curiosity or gossip'' and is thought to date to the 1560s.

GADFLY: that bite or annoy, any of various flies that bite or annoy livestock; a person who stimulates or annoys other people especially by persistent criticism; a political gadfly. GADABOUT: originally referred to ''one who gads or walks idly about, especially from motives of curiosity or gossip'' and is thought to date to the 1560s.