We are RDP in CA. We received a joint CA tax refund last year & a 1099-G for it. When completing our fed returns as single, how do we list that 1099-G? One of us? both?

Do we split the amount? I notice my SS is on the form, does that mean I should claim it as my income. We have disparity between the both of us so I'm wondering if we can choose who claims it.