Sheet Music from Chope is HERE. The tune is different.

The following is from Gordon Avery, ed., Companion to The Song Book of The Salvation Army (Salvationist Publishing and Supplies, 1961). No mention of the tune.:

841. A little ship was on the sea (Dorothy Ann Thrupp)

The Young Soldier, July 1, 1899, where it is stated to be 'No. 44 in Young Soldier Song Book'.
Daughter of Joseph Thrupp of Paddington Green, London, Miss Thrupp (1779-1847) wrote a number of hymns and herself edited Hymns for the Young about 1830.