It is in The Christian Sunday School Hymnal; A Compilation of Choice Hymns and Tunes for Sunday Schools (St. Louis: Christian Publishing Company, 1883, p. 48; with music):

No. 46. THE GATE AJAR FOR ME (Mrs. LYDIA BAXTER / PHILIP PHILLIPS)

Cyber Hymnal, however, says it was composed by Silas J. Vail.