Delaney, the longtime Bulldogs coach, believes the time was right to step down.
The Indians fall 28-26, 28-26, 26-24 in the CIF Southern Section second round.
The Bulldogs score in four of the seven innings and tally three runs in the third and fourth.
Isabella Kam is credited with the win as the Indians score four runs in the seventh to ice the game.
Indian girls' take third place and boys' fifth place, while Bulldog boys' garner third and girls' grab fourth.
The Bulldogs score a run in the eighth inning after trailing 2-0 in the top of the first.
The Indians scored solo runs in the fourth and fifth and added two more in the sixth as they rap three consecutive hits including Hyatt Entz's key double.
Burbank takes 4-0 lead in the first inning, but can't hold it. Offense is limited to seven hits with Dominik Severo getting two singles.
Indians manage two hits, by Nicco Chuidian and Julian Jaramillo over five innings, commit five errors and pitching staff issues seven walks.
Kodiak Hernandez finished tied for first place with a 4-under-par 67 for the Indians, while Burbank's J.J. Nakao shoots an even-par 71.
Brian Garcia's two-run double in the sixth inning was the key blow for the Indians.
Dominik Severo's single to center field with one out in the eighth inning was the game-clincher.
Hannah Skinner has the game-winning sacrifice fly as the Indians, who pounded out 14 hits, scored two runs in the seventh inning.