There is disagreement about the authorship of this text. The DNAH information claims the author is Helen E. Brown, however, later information points to Joseph Grigg as author.
At Jacob's well a stranger sought. [Christ at the Well.] In Dunderdale's Psalms & Hymns, 1817, No. 260; and also in the Supplement to the Evangelistic Magazine, Dec. 1820, p. 574, in 4 stanzas of 4 lines. In both instances it is Anon.
--John Julian, Dictionary of Hymnology, New Supplement (1907)