Was Jeremiah Ingalls related to Laura Ingalls?

Answer 1

No they were not.

Answer 2

No, Jeremiah Ingalls was a composer and singing master from New England in the 18th century. Laura Ingalls Wilder was a well-known author who wrote the "Little House" book series based on her childhood in the American Midwest during the late 19th century. There is no known familial relation between the two.