Do you think they could be breeding there or migrants Paul? There has been two at the usual reservoir on the Isle of Wight during the last week. Again a possible local breeding site as ovipositing seen there during the last two years.
They have bred on the Common - I found a teneral on the grass next to the lake on 11.08.17 - but I suspect you meen "persistent" breeding in that they mature locally and then produce another generation.
It's a difficult site to monitor because of all the footfall around the (small) lake and also that I'm the only one who is interested in recording dragonflies on Southampton Common
This was my first visit to the common this year as I have avoided overcrowded places so I had no chance to check for any tenerals or emergents and I don't have permission to get in the lake to try to find exuviae.
There are no fish in the lake - it is drained each winter - so there would be an opportunity for the larvae to survive the winter if the water was warm enough.
When I used to watch dragonflies at Badminston Gravel Pit nearer to the Hants coast there was often successful breeding from the insects that arrived in late May hrough June but I never saw a red male in the autumn - they all dispersed before maturity.
That answer was a bit of a long-winded "No" !
Paul