Hennebery played his club hurling with Mooncoin, however, he enjoyed little in terms of championship success during his brief career.
After first being selected for the Kilkenny senior team in 1909, Hennebery was a regular member of the team for that championship seasons. He won a Leinster medal that year before later winning his sole All-Ireland medal after Kilkenny's defeat of Tipperary in the final.
Hennebery died after a short illness on 16 February 1965.
