This is a weird one, and it's probably down to a bad earth.
When I turn my fog lights on, my (passenger side to you) foglight is fine, but the other one is barely lit. Along with it being barely lit, the indicator on the same headlamp is lit up, along with the fender indicator.
So turning the foglights on barely turns it on, but lights up the indicators on that side instead. Weird.
Not sure what's causing this. One thing I do know is that the headlight in question is the toughest headlamp to 'lock' back into place. I'm wondering if one of the connections is barely connecting, or perhaps they just need a clean.
But before I check, I thought I'd ask in case it was something common