Here's the description of the area. The last sentence includes any deeded land located within Hot Springs County and within the boundary of the reservation (the orange hatching in the hunt area), so that would mean your map is correct.
Area 83. Owl Creek. Beginning at the junction of Wyoming Highway 120 and
Wyoming Highway 431, easterly along Wyoming Highway 431 to the junction with
Wyoming Highway 432; easterly along said highway to the Big Horn River; southerly up
said river to the Wind River Reservation boundary, westerly, then northerly, then westerly
along said boundary to the divide between Owl Creek and the South Fork of the Wood River;
northeasterly along said divide to the divide between Cottonwood Creek and Gooseberry
Creek; northeasterly along said divide to the divide between Gooseberry Creek and Grass
Creek; easterly along said divide to Wyoming Highway 120, southeasterly along said
highway to the junction of Wyoming Highway 120 and Wyoming Highway 431; in addition,
all non-Indian fee title lands You are Hot Springs County within the exterior boundaries of
the Wind River Reservation are included.