'Skyscraper' branded equipment was manufactured by Radio (1936) Ltd, they were distributed by Bond & Bond Ltd . Currently there are 34 documented models.
The house brand for Bond and Bond - most models appear to have been made by Radio (1936) Ltd, although there are some Westco models in their lineup as well.
A lot of their entry level 5-, then 4-valve sets look to have been advertised for a fixed price of £12/10/- or £2/6 weekly right from around 1936 through until the war.
Where the model code is not clearly stated it can be found (in most cases) as the letters at the start of the serial number. For example, RB10574 would be a model RB.