Critical temperature what a family house's average thermal energy storage can ride out?
When a person builds a building with brick (say, in 1890), they are not engineering the building for thermal management. They are using brick because it is cheap, durable, and holds up the roof.  

While the brick could be a thermal management asset, it is only by dumb luck.  If you want more effectiveness, you need to actively engineer for it.  

Right now, when the sun goes down, the brick radiates its heat in both directions - into your house and out of your house.  It actually does the second one better, since it's in direct contact with outside.  After the brick cools down, it then becomes a conduit to draw your expensive interior heat to the outside.  So while it is thermal storage, it is also a thermal pipe.  

What you need is for the thermal storage to last longer and stop being a pipe.  The best way to do that is put insulation outside the thermal mass.  In other words, wrap your building with insulation. 

And then, add either active piping (solar thermal, ground source etc.) or passive solar design (well-aimed windows with summer shading, however, it doesn't sound like you're building a new house).