Mom of 5,
This is a seven-year-old topic, so I don't know where you stand on the family history. Let me just assemble what you have;
1. You are 49, born 1962/63. Assuming that your ggrandmother died in 1922 when your grandmother was 12, that would mean your grandmother was b. ABT 1910, and your mother was born, say, 1936 or so.
Rhode Island was experiencing a surge of immigration around 1910, from Eastern and Southern Europe. You didn't mention your ggrandparents' nationality; but if they were South or East European, you might find them in the Ellis Island records. More likely than not, their names would not be spelled the way they were passed down to you. Also, they may have LIVED in Rhode Island at one time, but not have any records there. If you haven't already done so, go to a Church of Jesus Christ of Latter Day Saints Family History Center near you, and actually talk with a PERSON there. I have in my own research, and found them to be very helpful. If you've tried the "free trial" subscription to Ancestry.com, you probably have learned by now that you practically have to die, in order for them to stop automatically renewing your subscription without telling you. I got off the hook by changing my bank account. They provide lots of records, but these are also available from different sources. One useful one might be the WWI Selective Service records.