On page 631 (D.W. Hoyt, 1871): “Soldiers of the War of 1812. The following names occur on the rolls published in the Hist. Stamf.: Lieut. Henry, Joel, Ens. Ralph, Leander, Ezra, Walter B., Benj. Jr., James Jr., and Ananias. Each served for a few days or weeks on different occasions, for the defence(sic) of Stamford.” Then there is a list of those who served in New York.
This was apparently a county militia unit, not a Federal unit, and county records often used “Jr” and “Sr” to differentiate between two men in the same county with the same name (and sometimes women also), whether or not there was a family relationship. In this case, it appears that “Benj. Jr.” was Benjamin Hoyt, son of Joseph Hoyt and Hannah Smith, born in Sep 1791 in Stamford CT, married Sally E. Keeler on 11 Jan 1816 in Stamford CT and died 1 Feb 1828 in Stamford CT. He was 21 years old in 1812 (http://wc.rootsweb.ancestry.com/cgi-bin/igm.cgi?op=GET&db=hoytjohn319&id=I15542).
If the record had been for a father and son, then the father and son would have been both alive in 1812 and both living in Fairfield Co CT (and my research does not support that possibility).
(A Genealogical History of the Hoyt, Haight, and Hight Families, 1871, by David Webster Hoyt)
I am not a descendant of any of the above individuals.