They were found with serious stab wounds in Northdown Road, Solihull, at 12.30pm on Sunday.
Neighbour Sarah Hollis described victim Ms Oudeh, who had a two-year-old son, as a “lovely woman”.
“She was quiet and they argued quite a lot – near enough every day,” she told Sky News.
Ms Hollis said she could sometimes hear Ms Oudeh “shouting for help” in her quarrels with Tarin.
“It sounded like she was getting whipped or something. You could hear the little boy crying on the balcony.”
She added that Ms Oudeh would say hello to her when she was alone, but that “when she was with him [Tarin], she wouldn’t speak and would put her head down.”
It emerged today that a raid took place at a property in Sparkbrook, Birmingham, at 8pm on Monday night in connection with the murders.
CCTV is being examined and the area has been cordoned off.
Tarin is not the father of Ms Oudeh’s son, Sky News has also learned.
Both victims are believed to have been born in Syria, while the suspect is an Afghan national believed to be legally in the UK.
The women were treated by emergency services but confirmed dead at the scene.