The Daily Trust newspaper says 10-month-old Goodness is being cared for at a hospital where it was presumed her mother was among 75 dead victims of Monday's explosion.
Then family members found her mother Gloria Adams in another hospital.
The newspaper says hospital officials are preparing to reunite the two on Wednesday. It quotes a doctor as saying the baby only suffered a swollen eye.
Health officials say 141 wounded victims are in 15 hospitals and clinics.
The death toll from the explosion blamed on Islamic extremists is expected to rise.