House own script not putting the house back up for sale once player leaves?

My purchase house script is working for when someone is trying to buy it, but when they leave the game it still says they own it until a new server.

debounce = false

script.Parent.BuySign.Buy.MouseClick:connect(function(player)
    if game.Players:findFirstChild(player.Name) ~= nil and not debounce and game.Players:findFirstChild(player.Name):FindFirstChild("HomeOwner") == nil then
        if player.leaderstats.Cash.Value >= 500 then
            player.leaderstats.Cash.Value = player.leaderstats.Cash.Value - 500
            debounce = true
            script.Parent.BuySign:Destroy()
            script.Parent.Owner.Value = player.Name
            local own = Instance.new("IntValue")
            own.Name = "HomeOwner"
            own.Parent = game.Players:findFirstChild(player.Name)
        end
    end
end)

game.Players.PlayerRemoving:connect(function(player)
    if game.Workspace:FindFirstChild(player.Name.."'s House") then 
        game.Workspace:FindFirstChild(player.Name.."'s House").Owner.Value = "" 
        game.Workspace:FindFirstChild(player.Name.."'s House"):FindFirstChild(player.Name.."'s House").Name = "Buy this house!" 

    end
end)