I too have been checking into where Lee Lane was because my ancestors lived there.
I have plotted a part of the 1841 enumerators route as follows:-
Lee Lane to Rose/Road? Cottage,
then to Day Park,
then to Coxbench Hall,
then to Lee Lane,
then to Holbrook and on to Moor side Holbrook, Overstone etc.
In other words, this is a small circular walk from high up Portway. Walkin down the hill, then taking a right hand turn via a cottage name which is difficult to read, towards Day Park, (which we know from maps, is in the Lee of the Hill behind). From there to Coxbench Hall, then back to Lee Lane and up again to Holbrook.
I have to conclude that Lee Lane was the Portway as the name Portway doesn't appear in the 1841 census.
Someone else on here has suggested this already. I am trying to add evidence to support.
Lee Lane could of course continue down, beyond Coxbench Hall towards the Fox and Hounds.
Hope someone can add their findings.
Cathy.