When you have a pressure pipe situation, the pressure will read the same in all sections of pipe, as you are reading dynamic head. Dynamic head is the total equivalent height that a fluid is to be pumped. This particularly true for small systems with low flow. Note that the differential head loss across items such as valves starts at zero with low flow and increases with flow velocity.
This is not true for gravity pipes such as danw2 is describing, where one end is open to the atmosphere. There, you are measuring static head, not dynamic head. Normally, there should be some head loss across a globe valve. This can be measured by installing pressure gauges on each side of the valve.
For a situation that you are describing (probably a low flow scenario), the only method to determine flow is with a flow meter.