There is at least one other version of the 'Reynolds' tubing transfer between the one on this mystery bike and the Reynolds 531 version.
The one that mentions 'High Manganese' steel, seen here.....
As to the rear dropouts, I'm not sure what you mean by "rear dropouts without a rear fork". This type of dropout was a common feature on British made bicycles from the late 1920's/early 1930's to the 1980's at least.
Typically they were common on 3-speed hub geared machines pre, and post WW2, but also on singlespeed machines.
I have a 1960's 'Vindec' so equipped.
As to searching for the name via 'H. Lloyd's' wonderful website
@Schwinny that could help, but they have a relatively small percentage of the total of British makers that existed, and mostly classic lightweights at that.
People underestimate just how many manufacturers existed back then, and as in the USA you also had large manufacturers producing frames for small manufacturers on a contract basis, who would then add a decal or headbadge of their own.
The fork crown could be just a cover, not the actual fork crown.
I feel the most distinctive feature of the frame in question on this thread is the seat stay end cap treatment where they join the seat tube/top tube lug. That looks pretty distinctive to me.
They join at a relatively low position in relation to the main lug.
Also the position of the rear mudguard mounts on those rear dropouts is quite distinctive.