Pipe bombs were also thrown at the property. The bombs did not detonate and have been recovered by police, with forensic examinations due to take place.
The injured girl was taken to Birmingham Children's Hospital and was set to undergo surgery to remove the pellets.
A West Midlands Police spokesman confirmed she remained in hospital on Thursday morning in a stable condition.
The spokesman added that no arrests have been made in connection with their investigation and enquiries are still on-going.
Residents in Coronation Road said they were woken up by “loud bangs” before police descended on the scene. The incident saw the Army’s Royal Logistic Corps Bomb Disposal called into action to make the items safe.
David Jamieson, West Midlands police and crime commissioner, said: “This is a horrific attack where a young girl has been injured in the crossfire by a firearm.
“Fortunately the pipe bombs did not detonate, however it is deeply worrying that some people are creating such deadly weapons.
“West Midlands Police and I take this very seriously and the police are continuing their investigation into this awful incident.”
The disposal experts were seen putting on protective gear behind the police cordon as the ambulance service’s hazardous area response team waited on standby.
In a statement on Wednesday evening, a spokesman for West Midlands Police said: "A shotgun was fired at visitors to the address just after midnight. Unfortunately a teenage girl, was caught in the crossfire and was hit by shotgun pellets. She remains in hospital for surgery to remove some of the pellets. No-one else was injured.
"Two pipe bombs were also thrown towards the property, however these did not detonate and have been recovered for forensic examination.
“We are in the early stages of this inquiry and detectives are examining CCTV and asking anyone with information who hasn’t already spoken to officers to get in touch.”
Anyone with information is urged to contact West Midlands Police by calling 101 and quoting log number 44 of June 24.
Alternatively, contact Crimestoppers anonymously on 0800 555111 or at crimestoppers-uk.org