Abstract: A manually operated reciprocating fluid pump comprising a pump housing, a plunger, a piston and a priming valve. The pump housing has an inner surface and a pump chamber defined at least in part by the inner surface. The pump chamber extends axially through the pump housing. The plunger extends axially into the pump chamber. The piston is reciprocally and axially slidable via the plunger and within the pump chamber between a bottom stroke position and a top stroke position. The priming valve is configured to be open and thereby permit fluid to flow upward through the pump chamber when the piston stroke moves the piston from the top stroke position toward the bottom stroke position and configured to be closed and thereby prevent fluid from flowing through the pump chamber when the piston stroke moves the piston toward its tip stroke position. At least part of the priming valve and at least part of the piston are a single monolithic piece.