He was one of the AL's most highly regarded umpires in his era, working in the 1921, 1925, 1930, 1933 and 1935 World Series (as crew chief in 1930 and 1935), as well as the second All-Star Game in 1934.

On Memorial Day in 1932, Moriarty worked behind the plate for a Cleveland Indians home game against the White Sox.

When several Chicago players took exception to his calls, he challenged them to settle the dispute under the stands of League Park after the game.

Several White Sox, including manager Lew Fonseca and catcher and future AL umpire Charlie Berry, took him on in turn.

[3] When they defied him and kept up the abuse, he took the unusual step of clearing the entire Chicago bench—a move that got him fined by longtime Commissioner/Judge Kenesaw Mountain Landis (known primarily to posterity for keeping blacks out of the major leagues throughout his quarter-century in office).

On the other hand, during 1944 divorce proceedings his wife testified, "His attitude toward the next-door neighbors was of intense hatred for no reason whatever.

He died in Miami at 79, and was buried at Saint Mary Catholic Cemetery in Evergreen Park, Illinois.