Her name will be Allura Kent. In the 1984 "Supergirl", Supergirl's mother was played by Mia Farrow. However, because I have always loved the gorgeous British actress Susannah York, sta.sh/019a197zqtzd (who played Lara, Superman's mother in the first Superman film), I would like to think in my mind if no place else, that Allura Rao, Supergirl of Earth-2's mother and Allura Kent's grandmother would be Miss York, who tragically passed away in 2011.
(Hey, if DC can screw around with Powergirl's past and completely ignore the beautiful universe that Amanda Connor built for her, well then, I can create a bit of new Power Girl history as well.)
At the present time, I would like to keep Superman and Power Girl free to pursue their lives after the birth of Allura, but both are concerned enough that they want her raised in a good home, which unfortunately, because of the dangerous lives both live, is not with either of them. Yet, both have so much love for the infant that they want to be deeply involved in her life. I am considering having Allura become part of Supergirl's family, which was introduced by the great , commissioned by .
If anyone want to use Allura Kent in their artwork, please contact me first, I am open to ideas, but I am establishing her as my original character.