The present disclosure describes a taping tool for taping gaps, seams, and/or joints between wallboard members that includes a simplified tape advance/actuation assembly. The taping tool has an elongate body portion with first and second ends, and a connected head portion that directs dispensed tape toward a joint between wallboard members. The tape advance/actuation assembly has a control member forming part of the tool's elongate body portion and a tape engagement member housed by the tool's head portion. The tape engagement member moves in substantial unison with and in response to movement of the control member. The tape engagement member engages or disengages the tape depending at least in part on the position and/or direction of movement of the control member. The extent of the engagement between the tape engagement member and the tape may be adjusted though manipulation of a single fastener.