Definitions of wee:

• noun:   a short time

  Example: "Bide a wee"

• verb:   eliminate urine
• adjective:   very early

  Example: "The wee hours of the morning"

• adjective:   (used informally) very small

  Example: "A wee tot"

• name:  A surname (rare: 1 in 100000 families; popularity rank in the U.S.: #17090)