Based on the extant numismatic evidence, Cornelia was most likely the wife of Aemilian. However, it's impossible to tell for sure as there is no surviving historical reference about her.
RIC 30, C 5 Antoninianus Obv: CCORNELSVPERAAVG - Draped bust right on crescent.
Rev: VESTA - Vesta standing left, holding patera and scepter. $5,200 1/16/03.
RIC 31, C 3 Antoninianus Obv: CORSVPERAAVG - Draped bust right on crescent.
Rev: IVNONIAVG - Juno seated left, holding flower and baby. $6,589 5/12/04.