The boy, 11 and girl, 7, were found unresponsive at an address on Sunday and died at the scene.
Police were first called to a car wash on nearby Campbell Street to an incident, shortly afterwards oficers then visited the home on Flax Street where they found the children and arrested a woman, 49.
Following the reported nearby assault, a man in his 40s was taken to hospital for treatment to injuries not thought to be life-threatening, police said.
Staffordshire Police has referred itself to the police watchdog, the Independent Office for Police Conduct due to the force’s recent contact.