As can clearly be seen, every 19 years the moon rises directly over this gentleman ;-)
That photo's taken from where Stone 94 used to be, within its own small embankment circle, and the small stone in the background (to the left of the gentleman) is Stone 91. 94 and 91 define the long axis of the Station Stone rectangle. There was a cloudbank on the horizon, so the moon didn't become visible until about 15 minutes after rising.
Here's a composite with the same scene from Starry Night Pro, indicating the moon's path (in green). I've aligned the horizon line with the local horizon from Stonehenge, and from this I think the Station Stone alignment would be to the moon as fully risen, as opposed to 'just peeking above' or 'halfway risen'.
Here's my earlier article about using orthographic projection to determine sun/moon rise/set positions.