Green’s Dictionary of Slang

1. given to wandering the streets.

1996

M.J. Fenwick Sisters of Caliban 156: My city is a bitch an old strayway bitch ten drooping teats.

2. undisciplined, unsettled.

1989

Y. Brewster Black Plays 35: Meet Fisheye and five, six strayway young fellars who come with their muscles.