If one spouse's name is on the deed and mortgage does the other spouse have any rights of claim to the property?
If it's the primary residence, both spouses have equal rights of
ownership regardless of whose name is on the deed or mortgage.
Second homes or investment properties do not apply to this. The
court assumes "tenants in common" ownership for any married couple
regarding their primary residence. (there may be an exception in
some states if the house was owned by one person before they got
married, and now the spouse lives there too - ask a lawyer if
that's the case)