You may have a library with a good genealogy section in near you. It might have a Cooke book or two on the shelf. I have the four generation book and it includes the following first names with the Cooke surname:
Anne, Caleb, Elizabeth, Francis, Hannah, Hester, Jacob, James, Jane, John, Joseph, Josiah, Lydia, Margaret, Martha, Mary, Mercy, Rebecca, Robert, Sarah, Susanna and William.
The most recent people in the fourth generation book, lived in the 1700's. The fifth generation Cooke book would take it a couple of decades further and most likely have more individuals than the fourth generation.