1870 United States Federal Census about William Bearce Name: William Bearce Birth Year: abt 1862 Age in 1870: 8 Birthplace: Maine Home in 1870: Boston Ward 9, Suffolk, Massachusetts Race: White Gender: Male Value of real estate: View image Household Members: Name Age John White Barron 41b. 1829 Mass; Lithography Alllie Celia Banon 35 b. 1835 Ireland Ann Maria Tookey 10b. 1860 Mass Sarah Fansay Tookey 34b. 1836 Ireland Ellen Barron 46b. 1824 Mass Alvira Bearce 40-widow- b. 1830 Maine William Bearce 8-attending school- b. 1862 Maine
And this looks like Elvira in 1860:
1860 United States Federal Census about Elvira Bearce Name: Elvira Bearce Age in 1860: 27 Birth Year: abt 1833 Birthplace: Maine Home in 1860: Marlborough, Middlesex, Massachusetts Gender: Female Post Office: Weston Value of real estate: View image Household Members: Name Age William Bearce 35b. 1825 Maine; Shoe Elvira Bearce 27b. 1833 Maine Charles E Bearce 3b. 1857 Maine Alice J Bearce 3/12b. 1860 Maine
Unfortunately, this would mean his parents were born in Maine and not England as stated in the other census years.