I'll speak about "hunger" which you mentioned;
It can be a feeling as well as a sensation

the hungry "feeling":
means when you are in the mood for eating,
say it is your usual lunch time,
say you saw or imagined some food which you like, and say you think to yourself i could have a little...
Basically it was your brain that sent your body the message that this food looks/smells delicious, and now you want it.

the hunger "sensation":
means how your body sends signals to your brain, that you are in need of or desire food.
say you salivate, feel a little light headed, or your tummy seems to rumble etc, suggesting the sensation of hunger, to tell your brain to tell you to eat

Further, i think there is a difference between feeling and emotion too.
Probably the deeper more intense feelings, sometimes even a combination of feelings are called emotions, and are purely from the mind.