The Collaborative International Dictionary of English v.0.48:

Pneumogastric \Pneu`mo*gas"tric\, a. [Pneumo- + gastric.]
   (Anat.)
   Of or pertaining to the lungs and the stomach. -- n. The
   pneumogastric nerve.
   [1913 Webster]

   Pneumogastric nerve (Anat.), one of the tenth pair of
      cranial nerves which are distributed to the pharynx,
      esophagus, larynx, lungs, heart, stomach, liver, and
      spleen, and, in fishes and many amphibia, to the branchial
      apparatus and also to the sides of the body.
      [1913 Webster]

WordNet (r) 3.0 (2006):

pneumogastric
    adj 1: of or relating to the vagus nerve [syn: vagal,
           pneumogastric]
    2: of or relating to or involving the lungs and stomach
    n 1: a mixed nerve that supplies the pharynx and larynx and
         lungs and heart and esophagus and stomach and most of the
         abdominal viscera [syn: vagus, vagus nerve, nervus
         vagus, pneumogastric, pneumogastric nerve, tenth
         cranial nerve, wandering nerve]