Jane is a wuss. I reckoned all we needed to do was ask nicely if we could have access to the barrow, but she was very shy of doing so; however, as there was no-one about, it was academic, really. Anyway, all they could say would be "Yes", or "No."
Still think it would be worth a look if at all possible, just to get an idea of the scale,especially having seen Leafield barrow just up the road.
On the map this appears as an earthwork. I suspect it's horribly ruined with not much to see. Tried to take a look but it would've meant trespassing at the back of an Expensive Person's stables and I didn't fancy it. Expensive People often have firearms.