Perhaps if you have a look at this page:
http://www.tfl.gov.uk/tfl/gettingaround/maps/buses/
you should be able to find what routes are available wherever your "rancid
hole" is located, and from that how best to get to Greenwich.
Or select Greenwich and work back from there.
You might have more success with that if you don't like what the journey
planner tells you.