Interesting, because I've not seen that tower before but it intrigues me for 2 reasons.
The arrow loop and crenellations look like Victorian facsimiles of medieval designs.
Nor does it seem to have a dense, or substantial enough base.
But the archway and stone layering look like a 13th century original.
Hmm... I like castles, medieval or not, so I'm looking forward to the answer on this one.