Ok, I found the Planning Application and have viewed all the original application documents.
I would guess this this area has changed over the last 60 years from being a very rural area in a shallow valley to being heavily-developed with industrial units and other (mainly) small businesses. The C-Lane and the D-Road have evidently been there donkeys' years.
There's obviously been a wide radius taken off the corner of the two roads at some time, taking the land on the corner into the adopted highway.
The verge adjoining on the C-Lane is obviously the interesting bit. Given the way the rest of this lane has been 'aligned' between highways ownership and adjoining private land ownership (especially to the west of your bit), I can see where you are coming from.
The best evidence about verge ownership comes from historic records - either early copies of plans used in conveyances from historic deeds (you could see what LR might have for a few pounds). But trying to maintain that there was once a hedge/ditch arrangement along that boundary given what it looks like now is not going to be possible.
You can get copies of old OS maps from the site below - again it costs a few (tens of) pounds - you can view some of them for free but it costs to download. If those showed clearer evidence of historic hedges it might help your case.
I think I've taken this as far as I can now. Except I'm intrigued as to why you didn't object to the application or raise the issue about ownership way back in May 2011.
Regards, BM