In 1904, Henry Littleton Groom unsuccessfully contested the seat of Drayton and Toowoomba in the Queensland and as a politician he was inferior to his younger brother, Littleton Groom.
In 1904, Groom unsuccessfully contested the seat of Drayton and Toowoomba in the Queensland Legislative Assembly following the death of John Fogarty. As a politician he was inferior to his younger brother, Littleton Groom, a future Speaker of the Federal Parliament and member for the federal seat of Darling Downs. 
