He will have been given a chance; the children seen on her Facebook profile are well beyond newborn stage and look like they're various ages up to toddlers. If they were being removed purely because of his criminal history, they'd have been removed at birth.
Almost certainly there were very real issues that caused the older children to be removed. For instance, they may have been witnessing domestic violence, and she's refused to leave him and safeguard the children from him. Nothing has changed since then, hence a possible plan for this baby to be removed at birth, hence going on the run.