Joseph Squires was born on 6 April 1827, in Village of Oxford, Oxford, Chenango, New York, United States. He married Eunice Rathbone on 6 April 1848, in Village of Oxford, Oxford, Chenango, New York, United States. They were the parents of at least 2 sons and 5 daughters. He lived in New York, United States in 1870. He died on 11 April 1898, in Village of Oxford, Oxford, Chenango, New York, United States, at the age of 71, and was buried in Village of Oxford, Oxford, Chenango, New York, United States.