I too have come upon this phrase in reference to one of my direct ancestors. Their residency is given as 'Out of North Barr' for two of their children in the late 18th century. Both were baptised at St. Peter's Parish Church in Leeds.
I do know that another of their children moved to Scotland in the early - mid 1800s and I wonder whether this might be a reference to North Barr in Renfrewshire. Mills were opening in Scotland all around this time. Perhaps they went up there for work, something which, in my case, might have led to their son, moving to Scotland to work as a weaver....