I could have said Lydia’s household. You figure it out!
“I could have said Lydias household. You figure it out!”
And the fact that you would have to imply children, instead of seeing a single clear example speaks volumes. If you said Lydia’s household, it would not have given a clear example of a child being baptized either.
Baptism is for those who are mature enough to believe, have believed, have professed faith in Christ and want to publicly testify to others about their inner faith. Some children can do all that. Not every child. Infants, no.