I'm sorry to say that we have very little information on the Hawkins family. Do know that Martha Hawkins was the daughter of John and Mary (Hicks) Hawkins. Have no other names of siblings or descendents.
I did find where Horace Lovett, son of Thomas and Martha Lovett still lived in East Otto, Cattaraugus County, NY in 1910. As Horace was the eldest son, he could have still been living on the original Lovett farm. In checking neighbors on the Census, there was an Edson Hawkins as a close neighbor. He could have been a descendent of Johns and also stayed on his father's land.
Doubt this will help, but wish you luck in your search. Nancy