There are several other organizations in Connecticut that may help answer your genealogy questions. These are listed below according to their distance (closes to farthest) from the Godfrey Library.

123 Broad Steet
Middletown, CT 06457
(860) 347-2528
https://www.russelllibrary.org/
https://russelllibrary.org/local-history/

151 Main Street
Middletown, CT 06457
(860) 346-0746
https://mchsct.org/
https://mchsct.org/research-education/research/

75 Maple Street
East Hartford, CT 06118
(860) 569-0002
https://ctfamilyhistory.com/

Reference and Collections
231 Capitol Avenue
Hartford, CT 06106
(860) 757-6500
Toll-free (866) 886-4478
http://libguides.ctstatelibrary.org/hg/home

1 Elizabeth Street
Hartford, CT 06105
(860) 236-5621
http://www.chs.org/