That's a very good point, chickapey.
My current speculation is that she would have been picked up at the stop on Stanley, and the driver would've made the easy turn left onto Wharncliffe, to then head left (west) onto Riverside. That direction would've been towards her home on Griffith which would have allowed several minutes to put her at ease (assuming that the offer was for a drive home). Possibly that means the driver took her as far as where Riverside ends at Sanitorium Road--and then, rather than turning left towards Byron, turned right towards the CPRI grounds, (or, if earlier, off Hyde Park Road)-- before she likely would have realized she was not going where she expected. Given where she was found, and the short time frame involved, that seems to make the most sense.