Sounds like the story of Mary Jemison who was kidnapped by Indians in PA when she was a little girl after they killed her family. They took her to Western NY State and she lived with them for decades
When we visit Letchworth State Park we go see the cabin where she lived.
Many captive girls, especially if older than ten or so chose to remain with the Indians because they knew they would be ostracized if they went back among the white people. Read about Cynthia Ann Parker and the Comanches. There were several more such, especially in the 1700s farther east. Young girls and sometimes young boys were often taken specifically as adoptees because some tribes had a less than replacement birthrate and supplemented their population with young captives who became assimilated. Some captive boys grew up to be war chiefs in America and the West and in Canada.