Hi again, I posted records for Willah Gibson and her mother Matilde Rector in separate posts (posted as I found them).
The records show a family that migrated from the American South to the Midwest. Matilde's parents were born in North and South Carolina (records vary) and moved to Indiana and then Illinois; then to Mercer County, Missouri, where Matilde was apparently born ca 1859; then to the neighboring county of Decatur, Iowa, where Willah was seemingly born ca 1898. Willah moved with her new husband to Minnesota after they married in 1924. (I say seemingly because we need a few more records to absolutely prove this, or you may recognize this pattern as consistent with your family.)
The primary Native Americans in Mercer County MO/Decatur County IA were the Sac/Fox and Potawatomi. Since Matilde's parents originated further east, that fact does not seem relevant to her ancestry.
The Kiowa people came from the north and moved down through the American West, to Montana and to Oklahoma etc.
Thus we have to find a Kiowa person leaving home out west and traveling to the east circa the early 1800s in order to be one of Willah's ancestors on her mother's side. The only other option is that we've found the wrong records or the records are misleading. (I don't think so. Take a look at what I posted and see what you think.)
Below is a short Kiowa Tribe history.
"Kiowa (from G?'-i-gw?, or K?'-i-gw?, 'principal people,' their own name). A tribe at one time residing about the upper Yellowstone and Missouri [Rivers], but better known as centering about the upper Arkansas and Canadian in Colorado and Oklahoma, and constituting, so far as present knowledge goes, a distinct linguistie stock. They are noticed in Spanish records as early, at least, as 1732. Their oldest tradition, which agrees with the concurrent testimony of the Shoshoni and Arapaho, locates them about the junction of Jefferson, Madison, and Gallatin forks, at the extreme head of Missouri river, in the neighborhood of the present Virginia City, Montana. They afterward moved down from the mountains and formed an alliance with the Crows, with whom they have since continued on friendly terms. From here they drifted southward along the base of the mountains, driven by the Cheyenne and Arapaho, with whom they finally made peace about 1840, after which they commonly acted in concert with the latter tribes. The Sioux claim to have driven them out of the Black hills, and in 1805 they were reported by Lewis and Clark as living on the North Platte [river].
If you or another family member or volunteer can show how Willah's mother could be Kiowa, I would be very interested to hear it.
I did not check out the heritage of Willah's father, William C. Gibson.