Rachel Cushing, (1807-1885), ran a school for girls. See page 61 for more details.
There are two girls of Adeline's age named Hannah Stearns at this time in Brookline. One was Hannah Clark Stearns (1835-1903), age 15, daughter of Marshall Stearns who lived on Sewall Ave. near Kent Street. The other was Hannah Pierce Stearns (1833-), age 18, daughter of Charles Stearns and Nancy Flagg, who lived in what would become Coolidge Corner.
Wikipedia writes: