HunterDotNet

If you want to find the source of the signal you can direction find by holding the radio close to your chest and slowly turning around, the signal will fade when your body is blocking it, that is how you know where to start looking.

Some Radios allow for broadcasting of position for various tracking reasons, could be that.
They are mostly used in the wilderness to keep positions of hikers know. Also used for coordination between ham radio operators.
I wouldn't be worried about it, now once you program your encrypted channels ...

So you think you will be fine with a Baofeng and a prayer? Think again.
Anything that you transmit with one of those things is as good as open and any being that can sense emf can detect what you are saying.
What you need is a DMR radio. They are more expensive but have encryption.
It is illegal to ...

What is is near on your nightstand? Could it be a mundane source of EMF. Always check the mundane first.