Written by Adelaide A. Pollard, a woman who wrote hymns, but we can't be sure how many as she seldom signed them. Her devotion was to furthering the cause of God, not to seeking recognition for her own work.
This particular hymn was inspired by the prayer of an elderly woman who asked God to simply “Just have your own way with us”.
"As Adelaide left the prayer meeting that night the phrase from that prayer, “Have Thine own way”, rang in her mind. On the way home she formed the lyrics in her mind and before going to bed that night, she wrote the words on paper." (source)
The tanbible includes this tidbit "Upon returning home that evening, Miss Pollard mediated on the story of the potter, found in Jeremiah 18:3-4.
Search me and try me, Savior today!
Wash me just now, Lord, wash me just now,
as in thy presence humbly I bow.