After considerable investigative research (OK it's written in big letters on the building) I found this to be the parochial offices of Holy Trinity and St Mary's and it was built in 1864. What use it has put to since then I really can't say other than in the '90s it was an art gallery then an office of Yorkshire and Humberside Arts, a quango who doled out grants for arty ventures such as publishing poetry magazines (very nice people). YHA are long gone, along with Humberside and all regionally controlled arts funding. Nowadays this building holds an office for refugees and asylum seekers.
Over at City Daily Photo the theme day features facades.