Low water pressure in the early morning hours
Check that the water softener hours for running and doing it back flush (if you have one).

If it is not a running softener, a water pressure gauge that attaches to your hose bib is a fairly cheap purchase.  If you obtain one hook it up to your hose bib and record the pressure low values and what you consider normal values.

Then obtain permission from one of your nearest neighbors to attach it to their hose bib.  And record the pressure at the same time you had recorded your values.  This will isolate if it is just your home or the whole neighborhood.  If it is the whole neighborhood take the readings to your water service provider and request them to investigate.