These are the one foot contour lines.
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140' across the street and 134-135' at your back fence.
The natural grade is front to back. Anything on your lot (house, walkways, flower beds, etc.) will impede the flow of water. The neighbor's pavers are blocking water from going to the left (view from street). Is your property line the side of your house?
Like others have said, french drains are great and water should flow around both sides of your house. The county/city drainage department should be able to help.