Re: Thomas Jefferson Slayton, b. 2/11/1846 m Lydia Sophia Heustis
Your reply prompted a little more research. John, Almira, Clara as Augusta and Lydia, age 6/12 are found in the 1850 US Census of Homer, Cortland County, NY family 430.
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1850 US Census NY Cortland Homer HH 430
This may strain the kinship to Benjamin, based on Cayuga County propinquity.