LS describes how Hyrum went to an academy in Hanover.
Lucy Mack Smith, History, 1845, 56, The Joseph Smith Papers website, accessed August 11, 2021
And, as our children had in a measure been debarred the privilege of schools, we began to make arrangements to attend to this important duty. To this end we established our second Son (Hyrum [Smith]) in an academy at Hanover; and the rest that were of sufficient age, we sent to a common school, which was quite convenient; meanwhile myself and husband were doing all that our abilities would admit of, for the future welfare and advantage of the family, and were greatly blessed in our labors.