It appears that Timothy is the son of Archibald Kinney and Sarah Ranney(Raney).Mother's maiden name taken from his sisters death record.
It also appears that Caroline Fay died prior to 1880 when Carrie and father David are found in OH, with 'Henrietta' Bronson age 36.There is a Caroline Bronson died abt 1866 in CT.Record didn't list spouse of birthplace.Census notes David's parents b. VT.
Charles William Bronson b. 1857 died 1860.
Data from familysearch.org.More can be found there. Not my family, good luck.
U S Census, 1870 Hartford, Suffield, CT Timothy W KinneyM 46y CT Anna Kinney F 38y VT Charlie Kinney M 15y CT Sarah Kinney F 73y CT abt 1897
U S Census, 1880 Suffield, Hartford, CT SELFTimothy W. KinneyM 57 CT WIFEAnn E. Kinney F 49 VT DAUFlorence F. Kinney F 7 CT MOTHSarah Kinney F 83 CT SISSarah Woodworth F 53 CT Lizzie K. Woodworth F 15 CT
Name: Timothy William Kinney Gender: Male Birth Date: 22 Jul 1822 Birthplace: CHATHAM TWP,MIDDLESEX,CONNETICUT Father's Name: Archibald Kinney Mother's Name: Sarah Indexing Project (Batch) Number: 7450344
U S Census, 1880 Toledo, Lucas, OH David Bronson M 52 CT /VT /VT Henrietta Bronson F 36 CT Carrie E BronsonF 24 MA /CT/ VT
Name: Charles W Bronson Birth 22 Dec 1857Chicopee, MA Father: David Bronsonb. Suffield, CT Mother: Caroline b. VT
Name: Chas. Wm Bronson Death 26 Nov 1860Chicopee, Hampden, MA Age: 2 Birth 1858Chicopee Father's Name: David Bronson Mother's Name: Caroline Bronson