Answer
The condition is known as conjunctivitis, an infection of the conjunctiva.
There are multiple causes for this condition . In this case the cause is a wood splinter most likely with bacteria attached.
Where is the splinter? Most likely places are under the lower or upper eyelid. Other places to look: If the splinter is small it may be stuck in the conjunctiva , the iris or the cornea. The inner corner of the lower eyelid is a good place to look.
Work Step by Step
Conjunctivitis is an inflammation of the eye. It is usually a response to viral or bacterial infection of the eye. However, there are many other causes of conjunctivitis. Some of these are dust, wood splinters and pollen, Conjunctivitis can also result from allergies or diseases like gonorrhea.
In this case we know that the inflammation is a response to a foreign body--a wood splinter.
A good place to look for this wood splinter is in the medial corner of the eye under the lower eyelid. The flow of tears and the action of the upper eyelid tend to move particles in the eye in that direction.