The Lance seems to be a picture book perfect bike from the exhaust to the color.
I don't know what the other one is but I don't think it is a Royal Enfield Flying Flea.
The Flea used a Royal Enfield engine and the photos I have do not show a solid or sheet metal front fork on them.
The RE Flying Flea had a tubular front fork made from several smaller tubes.
I don't have a picture of it but the James Model ML (Military Lightweight) used a Villiers125cc two stroke engine in their war time machine.
Says The World of Motorcycles, AN ILLUSTRATED ENCYCLOPEDIA Orbis Publishing Ltd., London, 1979 on page 861,
"...there came to many a British soldier struggling to establish a foothold on a Normandy beach, a homely and familiar note, the buzz of a lightweight two-stroke.
It could have been a little Royal Enfield. Equally, it could have been a 124cc Model ML James, of which nearly 300 were in action on the Normandy beaches during D-Day and thereafter. Some had been ferried across in landing craft, others had travelled [sic] with the airborne troops in their invasion gliders..."
In the Villiers section the book, speaking of Villiers engines says,
"...However, the biggest breakthrough of all was a three-speed 125cc unit, with flat top piston and new, smaller-diameter flywheel magneto; in wartime, it was to power the James Model ML of the airborne forces, used by the beachmasters of the Normandy landings to sheperd troops to their rendezvous." (p1948)