Uno Reference Voltage of 1.1v

gggggggg:
Then send VOut to A0, and read the value, then double it. Sound right?

Yes. You could optionally add some calibration to get a more accurate value.

Do I even need a reference value?

Technically, you always have a reference. In this case you would use the default which is Vcc (regulated 5V).

And my reference voltage is 2% out from 1.1v.

The bandgap / 1.1V reference would no longer be involved. You can forget about it.

The reference you would be working with is Vcc / 5V.