I found The Barker Family Tree, trees.ancestry.com/tree/5142233/person/1216937967 which shows a Hannah Elizabeth Blanchard b. 1858 and died 1945. Maybe Jane was a nickname for hannah?
However, the 1870 Census does not contact a Hannah or Jane in Logan, Cache, Utah Territory. John R. Blanchard, b. NY, 44, farmer. Bertha, wife, b. Sweden, 34. Annie, b. UT, 9. John, b. UT, 5. Bertha, b. UT, 3. Fredrick, b. UT, 7/12ths. Ira E., b. UT, 18. Elizabeth, b. UT, 12. Successful Searching!