Lydia Gardiner Faxon (1832-1850), Adeline's older sister. She had just died in June of consumption at the age of 18.
Robert Boyle Chapman (1837-1894) and Charles Henry Chapman (1840-1917) were sons of Avis Waterman Lockwood, sister of Amos Lockwood. Amos Lockwood married Sarah Deming, sister of Adeline's mother.
Jerome Bonaparte Kimball (1832-1909). Originally also from Slatersville, he was a few years older than Adeline and presumably a relative. That connection is currently unidentified. He attended Harvard College which likely explains his sighting at a Boston concert attended by Adeline (See See page 24). He became a lawyer and was Attorney General for Rhode Island.
"Button, button, who's got the button" per Wikipedia: