The Collaborative International Dictionary of English v.0.48:

alalia \a*la"li*a\ ([.a]*l[=a]"l[i^]*[.a]), n. [NL., fr. Gr. ?
   priv. + ? a talking; cf. ? speechless.] (Med.)
   Impairment of articulate speech, or inability to speak,
   usually due to impairment of control of muscles in the
   articulatory apparatus.
   [Webster 1913 Suppl. + AS]

The Collaborative International Dictionary of English v.0.48:

Alalia \A*la"li*a\ (), n. [NL., fr. Gr. ? priv. + ? a talking;
   cf. ? speechless.] (Med.)
   Inability to utter articulate sounds, due either to paralysis
   of the larynx or to that form of aphasia, called motor, or
   ataxis, aphasia, due to loss of control of the muscles of
   speech.
   [Webster 1913 Suppl.] Alalonga

WordNet (r) 3.0 (2006):

alalia
    n 1: paralysis of the vocal cords resulting in an inability to
         speak