Anyone familiar with water meters ? UPDATE

Our main is in a little man hole next to the sidewalk and our neighbors is right next to it . The feed to the house is only about 35' long.
The thing is why would the meter run with the house valve shut off then stop running the next time its checked ?

Unless there is/was a leak, it won't

Water has to flow through it to register a reading. They do on occasion run backwards when you have a main bust down the line. but water has to be flowing..