Hello there, I just was browsing the web looking for ancestors Du Moulin. I am in England and my ancestor Jan Du Moulin came to England from Holland in 1640's in order to help Cornelius Vermuyden drain the fens around North Lincolnshire/Yorkshire border. Since then the name has been slowly anglicized listed as Demolin, Dimalin,Dimolin, etc etc until today it is known as Dimberline. Maybe this fact will help your search.
Cheers Ann