Fitting bathroom lock existing holes not standard Kitchens, doors, rails, stud, tables, chairs, stair cases, garden furniture etc... Find answers and ask questions here!

[Czeeczee]

I want to fit a lock to a bathroom door. Two holes drilled in door, but only 45mm apart. I was going to use a tubular lock below the handle assembly, but the plates would overlap on the edge of the door, and I can't find a combined one with only 45mm between the latch holes and a 45mm backset! Can anyone help?