Hannah traveled with her mother and her sister. They emigrated from London by way of the ship Garrick in 1840. Lucy, Hannah, and Elizabeth were living in New Jersey in 1850, according to census records. Lucy's obituary states that she came to Utah in 1852. Further research is needed to determine the name of the pioneer company with which they traveled to Utah.
Lucy Gregory is recorded to have purchased land in Salt Lake City on November 14, 1852 in the Salt Lake County Recorder's Office, Deed book A. Hannah is found in the household of her son, William Everett in the 1860 Utah census. Her mother, Lucy, is also found living in the Everett household in 1860.
According to this information, it is evident that the Gregory family traveled between 1851 and 1852. Further research is needed to determine which exact company they traveled with.