That literally means "in the Oneida way" (a.k.a. the Oneida language).
I'll post my notes and observations here as I go about learning Oneida. I don't have much of an update now, as I'm mostly reviewing my Iroquoian pronunciation, as I still remember quite a bit from my study of Mohawk a year or two ago. The main thing that is different between Mohawk and Oneida is the whispering that is found at the end of words.
I'll post some notes in a few days.