Looking at the 1911 census, there is only a Hill Farm and not a Hill Top Farm.
To make things complicated, there are two Hill Farms in Dry Doddington, the one to the east and also one to the west.
Both are named on OS maps from 1975 but the one to the east is called Cold Harbour prior to that and the other one is unnamed.
The 1911 summary book begins with Hill Farm and ends with Littlegates, which suggests that it is moving from west to east.
Unfortunately, neither seems to have a name board on Street View.