If you are filing a joint federal return, then you can file a separate state return for NJ and a Joint for RI.
For NJ, you can file as Married Filing Separately since you were a non-resident and had no income for NJ. You would only report her income on this return.
For RI, if you are filing a joint federal return, you would have to file a joint RI return. Since your spouse is filing an NJ return as a non-resident, that will have to be filed first. After that is filed, you can claim a credit for the taxes paid on your RI return for the taxes paid to NJ. RI will tax all income from all sources as your resident state. So to avoid double taxation, you would claim a credit for the Non-Resident return.
How do I prepare a joint federal return and separate state returns?
Multiple States
if you are filing separate federal returns, then you would just file separate state returns as well, reporting the income you each received on your own return.
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