Evidence from church, newspaper, and genealogical records proves she traveled to Utah in 1851. She appeared on the 1850 Iowa census, enumerated in Oct. 1850 and received her endowments in Salt Lake City on 30 Mar. 1852. The window of those two events prove that she could have only traveled to Utah in 1851. Her obituary stated that she came to Utah in fall 1851.
Her name is shown as "Harriet Gould Brunson," and it confirms her death date.