If you live out of State but have personal property in Mississippi, the laws of Mississippi govern disposition of that property. If you have a Will, an ancillary probate is required to leave it according to your Will.
“All personal property situated in this state shall descend and be distributed according to the laws of this state regulating the descent and distribution of such property, regardless of all marital rights which may have accrued in other states, and notwithstanding the domicile of the deceased may have been in another state, and whether the heirs or persons entitled to distribution be in this state or not. The widow of such deceased person shall take her share in the personal estate according to the laws of this state.” MS Code 91-1-1