Under estates is listed Harriet Reid and under deaths is a James H. Reed who died April 15, 1910. The problem is that the 1910 census is dated April 22.
A local historical society or library may be able to help you.
Harriet may be the same Harriet Lindsey, born ca 1845, who appears in the 1850, 1860 and 1870 census with Benjamin and Isabela Lindsey (Linzsey in the 1850 census) who lived in Richland County, Ohio. Isabele was widowed by 1880 and coincidentally had her granddaughter Mary Reed 13 living with her.