Name on a property deed, maybe

• One subject to a mortgage
• Person with a mortgage, e.g.
• One whose property is claimed, legally
• One with secured property
• He's mortgaged
• One with encumbered property
• Borrower on property
• One whose property is claimed legally
• Holder of claimed property

Wiktionary Word definitions in Wiktionary
n. (context legal English) One who has right of possession of goods but not right of property; the registered owner.