That's a pretty substantial tower and of a non-standard design. Obviously it was built to house more than just 'flying control' but what I wonder?
Not an anorak by any means but that Tower is indeed unique, It fascinated me when I was in my teens as we lived close by and my Uncle worked on the pig farm so access was easy.
What is known is that it was of local design and built in three stages, what the extra offices were used for remains a mystery, the obvious choice would be Operations but Wigsley had a separate Operations block.
The real anoraks have a thread running on the tower, which includes plans etc here :-
Wigsley
A name? If the Pig farm is still up and running and smelly as ever :-
"Smellsville"
Because it will.