Hi Arthur,
I have a Moses Simmons in my husband's family that arrived in Plymouth aboard the ship fortune in 1621. I don't know if other family members might have traveled between England and Holland at that time however. If I can be of any help please let me know. My father in law had left extensive research into the family and I've tried to include as much as I can as I build the family tree on Ancestry. Linda Freudigmann