More reading for you.
http://www.higham-kent-pc.gov.uk/more.htmAre you sure that it is called Crutches Lane as I have found refrence to a Crutchers Lane in the 1891 census.
Brewers Gate Crutcher Lane Cobham Strood Kent
Park Corner Gate House Crutcher Lane Cobham Strood Kent
Poultry Yard Crutcher Lane Cobham Strood Kent
Crutcher Lane Cobham Strood Kent
Then when you look at 1901 Census the name has changed to Crutches Lane, is this a result of the influences of the Hospital in the area?
Also on the 1901 census there are a number of cottages named New Cottages. All occupied by farm laboures is this your place.