Who owns my wall?

Micah

Founder of Team Clique
Moderator
Is there a hard and fast rule about who owns the wall that separates my driveway from my neighbour?
They’re looking at getting work done to reduce it by a third which would help us both get our cars on the drive. It’s a shitty wall and would just be concerned that it would look even worse with a section removed but also if a newer wall was built as it wouldn’t be in keeping with the rest of the house.
It’s the wall on the right as I look out of my front door.
We’ve checked the deeds etc and there’s nothing mentioned in any of the paperwork we have when the house was bought.
I understand it varies wildly but wondering what the common rule is, if there is one?
 
Usually it’s half yours and half there’s, had to be a mutal decision and usually cost is shared