I'm not a builder so this is just my personal opinion.
The house was built in 1936 so it has had almost 80 years to settle, whereas, the extension was built only 2 years ago so I would expect there to be some movement. However, only a detailed examination will tell if this movement has been 'normal' for this time frame. This may involve taking various measurements, historical searches of the surrounding area and possibly bore hole soil samples. Regarding the foundations, or lack of, then any plans submitted to the local authority for planning permission should still be available and maybe even a copy with the title deeds of the house. The building inspector should also have been on site during the construction to make sure relevant rules/regulations were being adhered to. This may help you to decide if there is anything to be duly concerned about.
One other point. If that is concrete rendering below the pebble dashing it could be bridging any damp course that has been installed. It needs to come off.