Strong cross-Kerr non-linearities have been long sought after for quantum information applications. Recent work has shown that they are intrinsically unreliable in travelling wave configurations: cavity configurations avoid this, but require knowledge of both the non-linearity and the loss. Here we present a detailed systematic study of cross-phase modulation, and absorption, in a rubidium vapour confined within a hollow-core photonic crystal fibre. Using a two-photon transition, we observe phase modulations of up to π rad with a signal power of 25 µW, corresponding to a non-linear Kerr coefficient, n2, of 0.8 × 10 −6 cm 2 /W, or 1.3 × 10 −6 rad per photon.