Complex sentence: Each of the four wrote a potential name on pieces of paper, asked a waitress to draw them out of Coburn's cowboy hat, and they submitted the names to The Jockey Club ranked in the order drawn.
Split into simpler sentences: Each of the four wrote a potential name on pieces of paper and asked a waitress to draw them out of Coburn's cowboy hat. They then submitted the names to The Jockey Club ranked in the order drawn.