Most often if people wake up with irritation and tearing, they have a common condition known as blepharitis. The diagnosis is confirmed if there is yellowish deposits at the eyelashes, the lashes are stuck together or the lids are stuck together. It is a low grade inflammation along the lid margins and eyelashes. Usually I recommend 3 things to treat and control this condition.
1) Heat packs applied to the lid for at least 5 minutes 1-2 times daily
2) get baby shampoo and mix 1 part water and 1 part shampoo, and use this on a moist washcloth to rub and cleanse the lids and lashes, paying particular attention to the base of the lashes
3) In severe cases, I recommend an ophthalmic antibiotic ointment, such as erythromycin ointment to be used at the lashes once or twice a day
If you do steps 1 and 2, you may be able to treat and control this condition and may not need an antibiotic, however if this fails, you may need to see your doc and he can prescribe you antibiotic opintment.
If this sounds like what you have, the treatment plan should help, if not let me know what else you see in your eyes so we can help you.