Google Maps has the street name as "Cooma St"; east of Warrens Corner Rd (i.e. about 175 m east of the bridge over the Numeralla River) it becomes Countegany Rd, while west of the village it's Numeralla Rd. (There's no Monaro St.)
There's no Street View for me to confirm the location of the exchange, but it appears to be on the southern side of Cooma St about 100 m west of MacLean St. If that's the correct location, the co-ords are 36°10'39.6"S 149°20'37.7"E.