The Old Paarl Road starts in the suburb of Bellville and runs parallel to the N1 national highway, through Brackenfell, Kraaifonten, and other suburbs all the way to Paarl - and beyond in fact.
I wasn't around at the time, but at some point I was told that the Old Paarl Road was the main route that one took to get to Paarl (a farming town about 60 kilometers from Cape Town) before the N1 was built.