When an execution on a judgment of a general district court, or a warrant of distress, is levied on property, or when a lien is acquired on money or other personal estate by virtue of § 8.01-501 and some person other than the party against whom the process issued claims such property, money or other personal estate, or some part thereof, either the claimant, the officer having such process, or the party who had the same issued may apply to the general district court of the county or city wherein the property, money or other personal estate may be to try the claim of the party so claiming the same or some part thereof, provided that the property, money or other personal estate does not exceed the maximum jurisdictional limit of the court as provided in § 16.1-77 (1).