S.F. Anderick, in a statement, reports that Hyrum Smith was able to teach school, Joseph was not.
S.F. Anderick Statement, in Naked Truths About Mormonism (January 1888): 2, in Dan Vogel, Early Mormon Documents, 5 vols. (Salt Lake City: Signature Books, 1998), 2:208
Hyrum was the only son sufficiently educated to teach school. I attended when he taught in the log school-house east of uncle’s [the Smith’s log cabin on Stafford Road]. He also taught in the Stafford District.