Claude Edwin Davenport (May 28, 1898 – June 13, 1976), nicknamed "Big Dave", was an American Major League Baseball pitcher who played in 1920 with the New York Giants.

He batted and threw right-handed.

He was born in Runge, Texas, and died in Corpus Christi, Texas.

He was the brother of former major leaguer Dave Davenport.

This biographical article relating to an American baseball pitcher born in the 1890s is a stub.