According to the 1900 census Elizabeth never had children.
Did you notice that a few houses from Elizabeth in the 1920 census there was the Samuel Cottle family in whose household were three children named Miner: Erma/Emma, 17, Earl, 16, & Walter, 7. Like Herbert these children were born in Washington; their parents were born in Minnesota & South Dakota. They were also called "grandchildren" of the Cottle family.
The only other similarity I see are ties to Wisconsin & New England. Samuel Cottle's wife, Daisy, 58, was born in Wisconsin and her parents were born in Vermont & New York. Samuel Cottle was born in Maine.
Elizabeth Grant b. NY mar at Wisconsin to James Platt who was b. Vermont. His parents born France & Maine.