In the viral video, the woman was seen beating the baby with a rod.
The commissioner said the Red Cross must be responsible for the task and not abuse the privilege.
He told journalists that police had arrested two suspects in connection with the clashes.
The commissioner stated that the bridge has now been disinfected.
She said emergency responders in the state would continue to sensitise Lagos residents on safety.
A falling 40-feet container killed a woman inside her car at the Lagos end of the Lagos-Ibadan Expressway on Friday.
“The accident occurred at Car Wash, Itoga Junction axis of the Badagry Expressway. It involved an unknown car driver.”
Controversial Nigerian crossdresser Idris Okuneye, aka Bobrisky, has been sentenced to six months in prison without an option of a fine.
On Friday, the Ikeja Special Offences Court admitted former CBN governor Godwin Emefiele to bail of N50 million.
Works minister David Umahi has projected a return on investment of around N1.67 trillion in 15 years on the Lagos-Calabar Coastal Highway corridor.