I used to live in a tollhouse. Every time I see a tollhouse I take a picture of it. This blog records those pictures and maybe some extra information if I know it.
Individual pages for all tollhouses I have details for can be found at https://sites.google.com/site/britishtollhouseswiki/
I have found a very informative page hosted by the University of Portsmouth here. The page contains many extracts from a report on the turnpikes of Hampshire submitted to parliament in 1852 by Sir George Grey.
Of particular interest is the attached map of the Hampshire turnpike network. There doesn't seem to be any mention of the Basingstoke to Reading road though, the one I used to live alongside.
I will have a go at using this map to produce a set of routes on GoogleEarth showing how the old turnpikes relate to the modern road network. This may reveal the locations of some of the lost tollhouses in the county.