There several much older bridges across the brock burn, there is one in the middle of the balshagry reservoir, it can only be seen when they drain the reservoir. There are several inside the Gorbals water works. I think if my memory serves me right there in one in the Walkmill Glen, there is the one that carries the corslet road, the one you mention, Nitshill Road, the old Nitshill Road tram bridge, the new bridges into the Darnley estate two if I am correct one at the point where the tinkers used to camp between Priesthill and the old route of Kennishead Road, it now walled up in the corner of the new play park on this part of Kennishead Road.
The new piped section that carries the new Kennishead road, The Railway Bridge, there was a bridge from Muirshiel Cres. to the Back of the Old bellarmine school, but that has just been removed due to redevelopment, the new Cowglen road bridge, the bridge into the enterance of the pollok shopping centre, Barrhead road Bridge, Braidcraft road bridge and a Lovely wee old stone bridge between Waterside ave and Southfield Cres. just before it joins up with the Levern Water at the back of the fire station on brockburn Road
Dont have a map to hand at the moment and cant remember if the next section is the Levern Water or the Brockburn as it flows to join the cart at crookston, there are several bridges on this section as well.