The ship on the left in the first picture is probably Cunard's newest ship 'Andania'. Having the right colour scheme with two funnels and two masts, it seems to fit the bill.
It could carry 2060 passengers and was 13405 gross tons.
It made its maiden voyage from Liverpool on 14th July 1913, heading for Southampton to commence regular services between Southampton and Montreal.
It was joined in service by sister ships Alaunia (from 27/12/13) and Aurania (from 28/3/17).
If it's not the Andania, then there were six more ships (from Cunards fleet of fifteen) that had two funnels and two masts, but they seem to have been at sea during the Royal visit of July 11th.
These other ships were:
Campania, Caronia, Carmania, Franconia, Ascania, Laconia.
Can anybody identify anything about the smaller ship in the middle? The one with the white band on its single funnel?