Theoda Hinckley (1835-1925). Her father, Holmes Hinckley, was a successful manufacturer of locomotives who purchased their house on Harvard St., right on the border with Brighton, as a "country estate". It is not currently clear how Adeline would have "walked home with her [from church]".
Adeline talks frequently of doing recitations. This particular reference, the part of Mrs. Cheston in the Baron von Klingenberg dialog, comes from a publication entitled "The National Speaker" which contains pages and pages of technical discussion on the control of the human voice. This blog from the Geneva NY Historical Society gives an excellent description of the educational method in 1850:
From the actual publication: