I've been looking at the 1851 tithe map of Brampton (surveyed 1850). It is definitely one of the better tithe maps I have looked at, in fact it is really more like a census, with many individual houses labelled and their owners and occupiers named. There are several street names that are familiar from the OS map, but having trawled though the transcript I do not see any mention of Low Street. It's interesting that Low Street is also absent from the 1851 census (according to FindMyPast).
There are however some street names on the tithe map that are not on the OS map. In the spirit of ruling out some of these as candidates for Low Street here are two of them:
On the OS map, follow Back Lane coming in from the NW. There is a complicated 'junction' where the fields labelled 122, 118 and 115 come near to each other, with the letters FW (face of wall) tilted and on top of other detail. I don't see a name for the lane that heads off to the north east, but just after that coming into town there is a fork. Back Lane continues as the left fork. The right fork at that point is String of Horses Lane which again forks, with the right fork being Fawkin's Hill, and the other continuing as String of Horses Lane. Back Lane and Fawkin's Hill both open into Back Street, whereas String of Horses Lane leads to a PH.
String of Horses Lane is also in FindMyPast address search for 1861, 1871, 1881, 1891. Fawkins Hill (which has very few properties labelled on the tithe map, is only in FindMyPast address search for 1871 and 1901.
Added: I see from StreetView that Falkins Hill is still there (Fawkins on the tithe map).