Eliza was reportedly a daughter of the Wallowa Nez Perce chief, Tu-eka-kas (Old Joseph). Her given Nez Perce name was possibly Bear Claws. Her mother (name unknown) was of Walla Walla tribal descent. Eliza and Joseph Gale married during his mountain man days, in about 1835, when he was a fur trapper out of Fort Hall, near today's Pocatello, Idaho. At about the time of their marriage, Eliza's reported half brother, the future Chief Joseph the younger, Hin-mah-too-yah-lat-kekt was born. Eliza bore two children at Fort Hall: Frances Ellen (ca. 1836), and Edward (ca. 1838). The fur industry was collapsing at the time, and the family moved to the Willamette Valley in 1839. They settled first on the Tualatin Plains. In 1844, Gale built the first gristmill and sawmill on what later became known as Gales Creek near present day Forest Grove. In 1848, Gale commissioned Alvin Smith, a friend and neighbor, to board their children, Ellen, Edward, and Susan (b. ca. 1840 in Oregon Territory), who were attending the nearby Tualatin Academy (now Pacific University in Forest Grove). Eliza and Joseph then traveled to the California gold fields, possibly with 2 other younger daughters. With gold dust, Gale supported his children's education and bought farm land near San Jose. In 1851, the older children reunited with the family in California. The couple later had daughters Maria Antonia Lucretia (Lucinda?), born ca. 1853, and Clara, born ca. 1855. Gale had several business ventures in California: at Mission San Jose, Ft. Tejon, Kern River and elsewhere. Their only son, Edward, was murdered during this time. By 1863 the family had moved to Washington Territory and homesteaded at Mill Creek near Walla Walla. In 1867 the family moved to Eagle Valley where they homesteaded on Eagle Creek near present day Richland, Oregon. The homestead included land on both sides of Eagle Creek at New Bridge in the upper (northern) end of the valley. Joseph Gale died on that farm in 1881 and is buried in the Eagle Valley cemetery in Richland. Eliza Gale then moved to the Umatilla Indian Reservation near Pendleton where she died in 1905. She was about 86 years old at the time of her passing.
[Based upon census records, I believe that she and her husband had seven children in the following sequence:
Frances Ellen, Edward, Susan, Margaret, Mary, Lucretia (Maria Antonia Lucretia), and Clara].

Sources: http://www.oregonencyclopedia.org/entry/view/gale_joseph_1807_1881_/

http://www.lenzenresearch.com/indtaxed.pdf