The Collaborative International Dictionary of English v.0.48:

Brim \Brim\, v. i. [imp. & p. p. Brimmed; p. pr. & vb. n.
   Brimming.]
   To be full to the brim. "The brimming stream." --Milton.
   [1913 Webster]

   To brim over (literally or figuratively), to be so full
      that some of the contents flows over the brim; as, a cup
      brimming over with wine; a man brimming over with fun.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Brimming \Brim"ming\, a.
   Full to the brim; overflowing.
   [1913 Webster]

WordNet (r) 3.0 (2006):

brimming
    adj 1: filled to capacity; "a brimful cup"; "I am brimful of
           chowder"; "a child brimming over with curiosity"; "eyes
           brimming with tears" [syn: brimful, brimfull,
           brimming]

Moby Thesaurus II by Grady Ward, 1.0:

38 Moby Thesaurus words for "brimming":
   SRO, awash, brimful, bulging, bursting, capacity, chock-full,
   chuck-full, congested, cram-full, crammed, crowded, farci, filled,
   flush, full, full to bursting, jam-packed, jammed, loaded,
   overfull, overstuffed, packed, packed like sardines, plenary,
   ready to burst, replete, round, satiated, saturated, soaked,
   standing room only, stuffed, surfeited, swelling, swollen, teeming,
   topful