See what you can discover.
Good enough photo found, see comments confirming Stevenson screen location but not whether the base is on concrete.
WMO03385, Donna Nook No. 2
53 28 29N 00 09 10E
Altitude 8 metres
Estimated Class 5. Location of Stevenson screen appears to be on concrete a few feet northside of control tower in deep shadow.
Evidence toward this by chance today, the BBC region weather report:-
Image from screen, web page
http://www.metoffice.gov.uk/weather/uk/em/donna_nook_latest_weather.html
UHI, extreme local base, distance, none.
Site is RAF, NATO, Coastguard, Wildlife, very confused.
As a special site for local operational purpose there isn’t a problem, provided the data is either restricted or appropriately very clearly marked.
Tallbloke's Talkshop 
Purely an educated guess. This is probably it.
http://www.bbc.co.uk/lincolnshire/content/image_galleries/donna_nook_aircraft_gallery.shtml?17
And here on Bing
http://binged.it/QmG5Xr
In fact it is. When the BBC image is blown up to 400% the Stevenson Screen is clear to see.
It is in the North West corner of the control tower compound.
http://binged.it/OYfgaH
Well done, confirms my guess. (top of two insruments is good enough)
Updated post.