A weapon was reportedly fired through a door of a property in Burrows Grove, Wombwell, on July 7, just after midnight.
A woman suffered a minor arm injury. A 21-year-old man was later arrested on suspicion of attempted murder, and remains on bail.
Today, police released this CCTV image of a man they want to speak to about the incident.
Detective Sergeant Jim Cross from the Force Crime Unit said: “This remains a priority investigation for officers and I want to reassure the public that we continue to do all we can to establish those involved in this matter.
“This was a shocking incident for the local community and we appreciate it will have caused some concern.
“A 21-year-old man was arrested earlier this month on suspicion of attempted murder and he remains on bail pending further enquiries.
“We continue to appeal for witnesses to the incident and now, with the release of these images, I’d ask anyone that recognises the man pictured to get in touch.
“If you’re not comfortable speaking directly to police, remember you can call Crimestoppers anonymously on 0800 555 111.”
Anyone with information is asked to call 101 or email [email protected] quoting incident number 5 of 7 July 2016.