Next time, park behind the other car,

as the manager told you. Then go back home and have a good night sleep. 老貓 is right, in NO circumstance, you should stand outside with your daughter in the middle of winter night.

You can also ask your manager, during daytime, if you can call tolling company to toll the other car away and not paying yourself. As this happened often, put a sign in your lot warning people not park there.