I like to check out the neighbors in census listings.
It's hard to know for sure with such a common surname, but in 1880 Washington Co, MO there's a William Thompson, son of Alex and Mary, who's a good match for the Will Thompson who's a neighbor in 1900 Tarrant Co, TX and has a son named Alx. In 1880 he's living in the town of Bellgrade. He has a sister named Nancy who's 14 in 1880. That'slittle older than the Nancy you're looking for but close enough that you should check her out.
Do you have any idea of who the other 2 children of Nancy Hutchings are?