asdf wrote to uk.transport.london on Mon, 7 Mar 2005:

Gatwick would be the quickest from Fulham - District Line to Victoria,
then direct train (get the Southern service, not the Gatwick Express,
which is far more expensive).

Or even get the direct Southern service from West Brompton.

I had totally forgotten that one! Shows how long it is since I used
that area regularly. But direct trains are only about once an hour,
otherwise it is changing at Clapham Junction. Which may or may not be a
problem for the OP, depending on how much luggage he or she has.
--
"Mrs Redboots"
http://www.amsmyth.demon.co.uk/
Website updated 4 March 2005 with a new photo