itronica, given that your original shower worked all of the time, and your latest shower works some of the time, then at the times your current shower doesn't work, what else could be different about your new setup versus your original one? There is only really: the water pressure (too low or too high) or the electrics (no electrics at that time of day, for some reason).
I think rowanwitch is onto something with the water pressure being too high. You could try switching on every tap in the house, then the shower, to see if that helped. If it did, you could investigate ways of reducing the pressure at the shower (to save water!).
Otherwise, it's probably the electrics...
> The shower I first had installed work perfectly at any time only since having the last two installed has the problem arisen.
Was a new circuit put in (or a different circuit used) when the first new shower was installed?
Does the current shower have a light on it to show that it's on? Do the lights look different before 6:15 and after 6:15?