Søren Wichmann shows that the Mixe-Zoquaean language had a word for "chicken."
Søren Wichmann, The Relationship among the Mixe-Zoquean Languages of Mexico (Salt Lake City: University of Utah Press, 1995), 76, 276
CV: CVCVC
*si:kitiw (n) 'cicada'; *ce:wE(kV?) (n) 'chicken, hen'
. . .
CE#023 pMZ *ce:wE(kV?) 'pollo, gallina/chicken, hen' [pM *ce:wE; pOM *ce:wy 'chicken, hen' . . .