The Tohono O'odham are probably not Irish. They are probably closely related to the Pima/Papago peoples. What do the Pima have to do with sheets?
The Tohono O'odham may be the largest American Indian Nation. They are likely to have been in this land longer than the Navajo. They also may have cultivated the best dry country bean known to Woman.
Have you seen the Tohono O'odham Cultural Center and Museum? I would like to. The Museum is about 70 miles from Tucson in Topawa, AZ about 7 or 8 miles south by southeast of Sells, AZ. Organ Pipe National Park is very near. It's an interesting area to cross the boarder into Mexico. An old Texas Ranger thought it was almost as interesting as the crossing at Big Bend.