The oldest map I have of Whittlesey is the 1841 tithe map. Baunce Lane is certainly not as narrow as Ivy Lane and in part, just beyond Gracious St, it is quite wide, as wide as Whitmore Street, for example, and wider than part of Gracious Street. The road leading from Whitmore Street to Gracious Street is unnamed. Beyond the turn into Gracious Street, the road continues to the north ,where it is wider and is called Baunce Lane. It's possible that this unnamed part was originally called Fish Street and that what is called Baunce Lane was a later extension to it, and then the whole street became called Windmill Street, which is what it is definitely now called.
I believe there are too many entries in the parish registers pertaining to Fish Street, which seem to tie in with Baunce and Baunce Lane, for these to actually be anywhere other than Whittlesey. The families associated with Fish Street in the registers also appear on the 1841 census for Whittlesey, which they wouldn't if this was a Fish Street in Peterborough, for example. These families all appear to be on Windmill Street too. There are quite a few Whittlesey street names that have changed since 1841. These include the following: Crab End is written as such in the 1841 census, yet on the tithe map of the same year it is called Crab Tree Corner. Old Tavern St is now Broad Street; Old Whittlesey is now Queens Street; White Horse Lane is now Horsegate Lane and Almshouse Street is now Market Street.