Steinbild has only a Catholic church St. georg.
The responsible protestant church is located in Lathen: Stephanuskirche Ev.-luth. Kirchengemeinde (parish) Lathen, Kirchenkreis (church district) Ems-Vechte, evangelisch - lutherischen Landeskirche (state church) Hannover.
I had look into archion, ancestry and FamilySearch, but at the moment there are now parish records online from this parish.