MML wrote:
Ops, sorry...typo.
Yeah, Southwark.
Thanks

The fastest public transport route from Heathrow to Southwark is by
Heathrow Express train to Paddington, then by Tube (Underground). I
suggest the Bakerloo Line from Paddington to Baker Street, then a level
interchange to the Jubilee Line which will take you to Southwark. The
journey itself takes about an hour. About 10-15 minutes longer but much
cheaper is an all-Tube route using the Piccadilly Line from Heathrow.

The terminal your plane arrives at, the day of the week and time of day,
and the precise address (e.g. postcode) in Southwark could all affect
this advice. In particular, if it's a weekend, give us the date, as
engineering works could have a major effect.
--
Richard J.
(to e-mail me, swap uk and yon in address)