  We have investigated polycrystalline samples of the zigzag chain system
BaTb$_2$O$_4$ with a combination of magnetic susceptibility, heat capacity,
neutron powder diffraction, and muon spin relaxation measurements. Despite the
onset of Tb$^{3+}$ short-range antiferromagnetic correlations at
$|\theta_{CW}|$ $=$ 18.5 K and a very large effective moment, our combined
measurements indicate that BaTb$_2$O$_4$ remains paramagnetic down to 0.095 K.
The magnetic properties of this material show striking similarities to the
pyrochlore antiferromagnet Tb$_2$Ti$_2$O$_7$, and therefore we propose that
BaTb$_2$O$_4$ is a new large moment spin liquid candidate.
