Do you mean Old English Game? If so game chickens are never very prolific and they were bred to fight not lay, so they will probably start to lay later than most production breeds.
I keep around 20 game hens for broodies, Here the pullets start laying at around 4 1/2 to 5 months of age..Not unusual for them to go broody at 6 months old, pretty good layers also when not broody