Grover Lowdermilk, American baseball player (d. 1968) was born on January 15, 1885.

Grover Cleveland "Slim" Lowdermilk was an American Major League Baseball pitcher with the St. Louis Cardinals, Chicago Cubs, St. Louis Browns, Detroit Tigers, Cleveland Indians and Chicago White Sox between 1909 and 1920. Lowdermilk batted and threw right-handed. He was born in Sandborn, Indiana.