Are there any Espruino 1v4 voltage regulator specifications anywhere?

Hi, yes, you are right:

1. @tage, I did not necessarily read all of the specs correctly. Yet, I read output of 3.8V if the input is more than 3.0V. The trouble, if I am right, is that 3.8V is more than the 3.6V specified for the ESP8266.
   
2. @DrAzzy, the real costs of all those alternatives, both in terms of BOM and PCB space, are much higher than the MCP1725-3302E/SN costs. That being said, it is a matter of goal in terms of functionality, more specifically autonomy on a battery operated mode. As a side inadvantage, the MCP1725 could be fitted in the prototyping area of the Espruino board.
   
   

And all those components won't support to high an input voltage.