USGS River Gauges (click here)
This is a continuous reading of the river levels. The red dots indicate the river is rising.
The gauge below is for Morristown, New Jersey. No one would expect Morristown to have problems, but, the rivers are being rained into and not just contained along the shorelines.
The gauge below shows spikes in the levels and then quickly falls off. The reason the level falls off is because there is good drainage to that area.
Rivers also receive rain and then will drain of the water and add to the levels of rivers below.
North Carolina has already been experiencing river rise.
Below is a river gauge for a creek in Hoffman, North Carolina. It receives rain and rises, but, then drains quickly afterward.
One of the biggest dangers with these creeks and rivers is flash flooding.