Back to the question of simpler, lower cost options, I just want to mention that a microcontroller may be a better choice than analog circuits for stuff like this. A cheap little 8-pin job will typically have a built-in 1.1V reference and an ADC peripheral, can sleep at extremely low current, take up less space, and wouldn't waste any current in resistor dividers or feedback circuits. If you can find any in stock. The AVR parts (see edit), for example, will let you do ADC with Vcc selected as the reference, but measuring the 1.1V internal. So as battery voltage drops, the ADC result goes higher. There's no need to divide down to 1.1V, so no current used for that.
May not be appropriate here, but future readers might need to be reminded of this option.
Edit: I may be wrong about this. The Atmega328P has this feature, but I don't know if any 8-pin parts do. The Attiny85 does not.
Edit2: No, I was right the first time. It looks like the ATTiny25/45/85 parts do let you sample the reference bandgap.