Found: Laura Southmayd 1860 Census
On the 1860 Census for Campton NH Laura Southmayd age 40 is wife of Galusha Southmayd age 44. I believe Laura is a second wife of Galusha.
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Also in this family is Daniel Southmayd age 16 and Ellen J S Southmayd age 13. I suspect Daniel is the son of Galusha and his first wife.
Ellen J.S Southmayd is the correct age to be the daughter of Laura Patten Simonds Southmayd, widow of Phineas Simonds & current wife of Galusha.
Ellen Jane Simonds Southmayd fits the census description of the daughter living with Galusha. Ellen was born in 1847. Ellen's biological father died in 1852.
I do not know yet whether Galusha & Laura had any children.