We theoretically study the generation of photon pairs via spontaneous four-wavemixing (SFWM) in a liquid-filled microstructured suspended-core optical fiber. We show thatit is possible to control the wavelength, group velocity, and bandwidths of the two-photon states. Our proposed fiber structure shows a large number of degrees of freedom to engineer the two-photon state. Here, we focus on the factorable state, which shows no spectral correlation in the two-photon components of the state, and allows the heralding of a single-photon pure state without the need for spectral post-filtering.