Cornelius Carmen "Nealy" Phelps (November 19, 1840 – February 12, 1885) was an American Major League Baseball right fielder who played for a total of five seasons, four in the National Association, and one in the National League.

He made his debut with the Fort Wayne Kekiongas of the National Association, and played in one game, at first base.

In that game, he went hitless in three official at bats, but did draw one base on balls.

[1] The next time he appeared in the league, he played one game for the New York Mutuals in 1873.

Phelps died at the age of 44 in New York City, and is interred at Green-Wood Cemetery in Brooklyn.