E.R. Snow says that she lived with the Smiths in the "Spring of 1836."
Eliza R. Snow, "A Sketch of My Life," reproduced in Spencer J. Palmer, "Eliza R. Snow's 'A Sketch of My Life': Reminiscences of One of Joseph Smith's Plural Wives," BYU Studies 12, no. 1 (1971): 2
In the Spring of 1836, I taught a select school for the young ladies, and boarded with the Prophet’s family: at the close of the term I returned to my parental home, where friends and acquaintances flocked around me to enquire about the “strange people” with whom I was associated.