I have ROSSITER but much earlier than you folks. They seem to be of Combe St Nicholas, Somerset. Maybe this will be of help to someone.
Richard ROSSITER (1461-1529) - Elizabeth PERYE - (Joan, Philip, George)
Philip ROSSITER (1499-1583) - UNKNOWN (Nicholas, William, Richard); M. 2- Katherine LYTE (Philip, John, Elizabeth, Hugh)
Nicholas ROSSITER (ca 1539-1608) - Elizabeth COMBE (Edward, Winifred)
Edward ROSSITER (1575-1630) - Jane COMBE (Nicholas, Dorothy, Bryan, Jane, Hugh, Joane)
Edward emigrated to the USA on the Mary and John in 1630. I descend from daughter Jane (1614-1691) who m. Thomas GILBERT 1612-1676) 1639 Massachusetts.
Cheers!