The Collaborative International Dictionary of English v.0.48:

Whimper \Whim"per\, v. i. [imp. & p. p. Whimpered; p. pr. &
   vb. n. Whimpering.] [Cf. Scot. whimmer, G. wimmern.]
   To cry with a low, whining, broken voice; to whine; to
   complain; as, a child whimpers.
   [1913 Webster]

         Was there ever yet preacher but there were gainsayers
         that spurned, that winced, that whimpered against him?
                                                  --Latimer.
   [1913 Webster]