2 wall lights not working - other lights OK ?

There is one circuit breaker for all my downstairs lights.

Two wall lights have stopped working but the rest of the lighting is OK.

The lights are about 2 metres apart but in different rooms:
- Kitchen light on pull cord
- Hall light with ordinary light switch on the other side of a wall (the switch is in my study and is about equidistant between the 2 lights that are not working

I am not a competent electrician but am willing to try a simple investigation if it is safe:

- Is it reasonable to assume that there is some wiring, coming off the main downstairs lighting circuit, that serves just these 2 lights?

- If there were a fault or disconnection in one of the light sockets or the switch could that stop both lights working? That is the bit I could perhaps check myself.

- Is it more likely that there is a problem with another part of the circuit and would investigation of that most likely entail removal of floorboards from the floor above?

Any help much appreciated.