Names of relationships only when they are a part of or a substitute for a person's name. (Often this means that when there is a modifier, such as a possessive pronoun, in front of such a word, we do not capitalize it.)
- Let's go visit Grandmother today. Let's go visit my grandmother today.
- I remember Uncle Arthur. I remember my Uncle Arthur. My uncle is unforgettable.
This also means that we don't normally capitalize the name of a "vocative" or term of endearment:
- Can you get the paper for me, hon?
- Drop the gun, sweetie. I didn't mean it.