Post oaks are very abundant in central OK where your parent tree is located. It might be any one of 10 post oak hybrids ... the attached articles will provide you with great information about post oaks.
Genetics ... from article 3
"The great variation in post oak and its tendency to hybridize creates a number of varieties and hybrids. The following hybrids with Quercus stellata
have been recognized (10): Q. alba (Q. x fernowii
Ti-el.); Q. bicolor (Q. x substellata
Trel.); Q. durandii (Q. x macnabiana
Sudw.); Q. havardii
(unnamed); Q. lyrata (Q. x sterrettii
Trel.); Q. macrocarpa (Q. x guadalupensis
Sarg.); Q. minima (Q. x neo-tharpii
A. Camus); Q. mohriana
(unnamed); Q. prinoides (Q. x stelloides
Palmer); Q. prinus (Q. x bernardiensis
W. Wolf); Q. virginiana (Q. x harbisonii
Article #1 They are known to be difficult to transplant ... I'd direct seed them in groups of 3 and not attempt to grow them in containers.
Attached article 1 says ... " They don’t always thrive in urban settings, and they’re notorious for being difficult – if not outright impossible
– to transplant. Their demanding nature makes them prone to what tree care professionals call Rapid Decline." I'd suggest ... direct seed best
While monoecious, they are wind pollinated and seem to do best when planted relatively close to other trees of the same species ... small groups of 3 would hopefully ensure strong pollination while offering some protection against the "Rapid decline of post oak trees" syndrome - .. first noticed in central / northern TX in 2016 and still of concern. see article #1
Hope this info is useful ....