Nucleus in brain common to IX, X and XI cranial nerves:
Nucleus solitarius
Nucleus ambiguus
Dentate nucleus
Red nucleus
The nucleus ambiguus is a group of large motor neurons, situated deep in the medullary reticular formation. The nucleus ambiguus contains the cell bodies of nerves that innervate the muscles of the soft palate, pharynx, and larynx which are strongly associated with speech and swallowing.
Nucleus in brain common to IX, X and XI cranial nerves is  nucleus ambiguous.