I find when I throw up, my stomach won't stop contracting until I sip some water. Everything is out and nothing left to come, but my stomach keep trying to squeeze it out. I've never noticed eyes watering though.
Yes, stress related honking usually 3.30 to 4 AM when Mrs Jakarta was having her Cancer Treatment. Having had 3-4 hours of sleeplessness would sneak downstairs, get rid of the evening meal and everything else up to and including bile - and definitely eye watering.
Strange to say would then go back to bed and have 3-4 hours of decent sleep - the mind is a strange thing.