Southeastern to run overnight trains for Queen’s lying in state
Trains will run throughout the night in coming days as the Queen lies in state at Westminster Hall.
Southeastern will operate a service from Charing Cross via Lewisham and Woolwich then back around Slade Green and the Sidcup line departing at 02:05.
The service pattern is quite unusual and follows what used to be semi-fast stops avoiding a number of stations such as Plumstead and Erith.

Another train will run at 04:05 departing Charing Cross and calling at the same stations. The only other trains from London Bridge are those to Tunbridge Wells.
The Bexleyheath line sees one service depart Victoria at 03:09. There are no services from Charing Cross.

Thameslink and Crossrail
A Thameslink service will operate on the Brighton to Bedford route throughout the night running at least hourly.
There is no Thameslink service on the North Kent line.

There’s also no Elizabeth line service on the core between Paddington and Abbey Wood, though trains will run between Liverpool Street and Shenfield plus London Paddington to Reading throughout the night.
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The halcyon days of the fast trains, where you could catch a train from Woolwich A in the morning and it would only stop once before arriving at London Bridge (but usually crawl as it got stuck in a queue as it approached London Bridge).
Sadly those days are gone, the Charing Cross train is the nearest to a fast train Woolwich gets these days