Andrew:
She has a familysearch.org profile, which calls her Julia Etta Cotton, born on November 5, 1841, and died after 1910. It says that she was the daughter of John Cotton (1784-1859) and Waitstill Austin (1809-1860), that she married Oscar Morgan on September 16, 1861, in Richland, Franklin County, Vermont and Amos Alexander on November 3, 1903 in Hennepin, Minnesota. The only child listed is Elvira Morgan (1861-1881).
https://www.familysearch.org/tree/person/details/LZ55-6FM
At this point, I am just repeating what is in the profile. I have not looked at the sources.
Roger