OK, let me get this straight. We pay the commune to reserve space outside our new house to make room for the movers. Despite it being a quiet road, we decide to pay the fee and have the signs so that we have an easy move. When the movers arrive however, your car is parked in the reserved space. The movers call the police, my husband asks round the neighbours to see if they know who the owner of the car is, and the movers have a cigarette break (paid for by us, 100 euros an hour). The police finally arrive, check the signs, and call someone to tow your car. The police tell us we can get a document to claim the money we've wasted on the movers while we wait for your car to be towed. We decide that would be a further waste of time and agree not to.
Today, you come to our house, complaining that you didn't see the signs and demanding half of the fee charged to get your car back. We, who paid more because you didn't see what we paid for to be there.
Not going to happen.