I see "Assignee of Record" in some forms associated with small-claims in California, i.e. https://www.courts.ca.gov/documents/sc130.pdf. What is Assignee of Record?
It is the party that takes title to a judgment under the California Code of Civil Procedure Sec. 673 and becomes a judgment creditor under Sec. 680.240. It has all the rights to enforce and collect the judgment against the judgment debtor under the Enforcement of Judgments Laws.
For more info, look up “assignment of judgment”.