Chainsaw Repair

OK, let me try to get my head around this.
1) oil is coming out the delivery tube in the bar mount when saw is not running.
2) but not leaking from the pump itself or the pump inlet nor from the output side of the pump.
3) if pressure is applied to the vent does the oil flow increase or stay constant?
4) have you disassembled the pump and checked the pump piston spring?
5) when the saw is upright does the oil flow increase? (I cannot figure how the oil can go up hill from the tank through the pump and out the top of the pump and up into the bar mount without some pressure behind it)!
6) is it possible that the leak is coming from somewhere in the bar mount area e.g. a crack in the case behind the bar, perhaps in the adjuster well or from a damaged bar mount stud?