This paper presents a control design for shaping the inter-area oscillations of a large wind-integrated power system through coordination between a wind farm controller and a controlled battery energy system (BES). We consider a continuum representation of the electromechanical swing dynamics of the power system subject to two point source forcings from wind and battery power, each injected at specified electrical distances along the transfer path. The inter-area oscillation modes of a wind-integrated power system have previously been shown to be highly dependent on the location of the wind power injection. This finding implies that a system may have a single wind farm site that produces the most favorable spectral response. In the present work, we first show that the optimal response is also dependent upon the location of the BES. Thereafter, we design co-dependent linear controllers for the wind farm and the BES in charging mode, which aim to match the spectral response of the combined system to the optimal response regardless of the wind farm and BES locations. We illustrate our controllers using simulations based on power system models inspired by US west coast transfer paths such as the Pacific AC Inter-tie. The results show that addition of this controlled BES greatly improves the spectral matching within the inter-area oscillation range versus a system with only a wind farm controller.