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It sounds like what you have is called a pinguecula. This is a change in the skin around the eye (conjunctiva) from a lifetime's worth of exposure to sunlight. It is not a cancer. It also can become irritated and red at times.
here is a picture of a small pinguecula. You can find many other pictures by going to google images:
This is a pterygium. As you can see one of the major differences between a pterygium and a pinguecula is that the former grows across the clear part of your eye (cornea):
If you are bothered by your pinguecula it can be surgically removed fairly easily using local anesthesia. One word of caution however.....they have the nasty habit of growing back, sometimes with a vengeance.
What can you do about your pinguecula short of having it surgically removed? Well, to decrease the redness use soothing natural tears 4 to 6x/day or more, cool compresses and treat any underlying blepharitis you may have.
The best treatment for blepharitis is daily lid scrubs combined with warm compresses. I like to use baby shampoo for lid scrubs. In the shower, place the shampoo on your index fingers, close your eyes, raise your eyebrows (to stretch the skin on your eyelids) and scrub back and forth along your eyelashes for 3 to 5 minutes. The hot water in the shower helps to soften the plugged oils in the glands while the mechanical scrubbing with your soapy fingers removes the oils.
Does this make sense to you?
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