Rhode Island is a state that has few to almost no digital images of any kind of records. FamilySearch has digital images of the Rhode Island State Census 1885, 1905, 1915, 1925, 1935. They have also indexed some birth, marriage and death records but no digital images of those records.
Rhode Island is also a state where vital records are kept at the town level. Nothing is held at the county level. So if you don't know exactly which town the event occurred, then you are pretty much screwed unless it is in the Arnold Collection which is only records up to 1850.
Birth and marriage records 100 years or older and death records 50 years or older are considered public records and may be obtained from the city or town hall where the event happened or through the Rhode Island State Archives.
I have found some of the Arnold Collection volumes over at Internet Archives. Boy oh boy, what was this Arnold guy thinking when he put these books together? I almost need to take a class on how to use the books!
I had the best experience with the ladies of the town clerk's office in Exeter. The office is located at 675 Ten Rod Road, Exeter. The town clerk Lynn Hawkins, Deputy Clerk Ruth Stone and Asst. Pat Whitford were so very helpful and friendly. No one will give you the old "eye roll" in this place. Jeeze the place looks like my great grandmother's house - not an office building!
Yes it is going to be a good week here. How do I know this? It's because of my rental car - it is a "arrest me right now red" colored camero!!!