EXAMPLES FROM THE WEB FOR WALKING PART
They had been walking part of the time in the throngs on the street.
Some of the children always insist on walking part way home with me, especially little Billy here.
He had come back, walking part of the way, and was now pleading to be sent out once more.
"She," being but a love-sick white woman, of course talked in "pidgin" Fijian, but she had little more than a walking part.
This was after the inspection was over, the young engineer at liberty, and he was walking part of the way back with Dick.
"minor non-speaking role," 1902, theatrical slang. Meaning "actor who has such a part" is attested from 1946. The sports team sense is recorded from 1974.