//Schools having 'House Names' ( when clearly they are not boarding schools therefore dont have 'houses').//
You misunderstand, Auntie. "Houses" do not refer to buildings.
It is quite true that the term originated in boarding schools where the pupils were accommodated in "boarding houses". However it became apparent that the "house" philosophy enabled the school to perform the functions with which they were charged when "in loco parentis". It is easier to administer care to a smaller group. This practice extended first to public, non-boarding schools and later to state schools.
I went to an excellent (non-boarding) school which operated a house system and I can tell you it benefitted all the pupils greatly.