My best guess is that "T." stands for "Territory". I'm thinking Missouri or Michigan as likely locations. I also note that Michigan became a state in January 1837. This letter was from an M.L. Cavert to "Uncle" Matthew Sherwood in Saratoga County, NY regarding a recent shipment of a tub of butter from Sherwood. Many thanks for the quick replies. Florida sounds like a very likely answer.
As a newbie, I find I'm not allowed to transmit an image yet--sorry!