These two books give a good overview about the introduction of Chicken to the New World (Chapter 8)
https://books.google.de/books?id=ncWCVCaWMuAC&lpg=PA142&ots=VS_Pw-7-BL&dq=north%20america%20chicken%20archaeological&hl=de&pg=PA141#v=onepage&q=north%20america%20chicken%20archaeological&f=false...