Dixie2, I have a new theory about this.
I've looked at several censuses. Sometimes the Pitts appears with Park Rd, sometimes with Upper Teddington Road, but it seems to be very close to the Railway Inn (which is still there). One census has, in the same area, "Gravel Pit Hill", and I also found a reference to gravel pits near Bushy Park at
www.oldbaileyonline.org/html_units/1780s/t17810711-66.htmlNowadays, the area behind the Railway Inn seems to have a slightly hollowed-out appearance. There are some fairly new buildings there (library, sheltered housing, community centre). So my new theory - pure speculation - is that "The Pitts" was a collection of houses by the gravel pits.
(Alternatively, it could just be the enumerator's comment on the condition of the buildings

)
If you put go to
www.multimap.co.uk and look for Hampton Wick, you will see this area between Park Road and High Street.
If you would like more information, you could try the Hampton Wick Association
www.hamptonwick.orgor Twickenham Museum
www.twickenham-museum.org.uk