As far as I am aware Rochdale no longer celebrates the Rush Bearing festival, though nearby Littleborough revived theirs in 1991 and continue to celebrate it each year. Below is description of how Rochdale and its Rush-Bearing from Lancashire Legends (1873) by John Harland & T T Wilkinson.
Rushbearing dates back to the middle ages and is a festival where rushes were collected to be strewn out over the floors of churches, back when the floors were just earthen. The tradition died off when church floors started to be flagged by the 19th century, though in some villages and towns it was revived as a folk custom.
Last Sunday in August – A service is held in Cucklet Cleft (Cucklet Church), a natural cavern destroyed by glacier ice near Eyam, Derbyshire. The service commemorates the bravery of the Eyam villagers and William Mompesson, for closing Eyam village after it became infested with the plague in 1665.
3rd or 4th Monday in August – Once said to have been celebrated with hilltop fires, the festival is now associated with Mary Queen of Scots. A Queen is voted from the local Irvine girls and a parade goes through the town along with other events.
14 August – On the second Friday of August, a man completely covered in Burdock burs (known as the Burryman) walks the boundaries of South Queensferry, a distance of seven miles. The ritual probably has pagan origins.
Famous for the Burning of the Bartle festival, when an effigy of St Bartholomew is burned in the town. The festival takes place on the nearest Saturday to the 24th of August.