The three children are all under the age of eight.
Police were called out to the family home on Saturday after a concerned neighbour heard the cries of the two young children and a small baby at the address.
A neighbour who asked not to be named said: “One of the children was running in the road crying that her mummy was bleeding.
“She must’ve been about seven or eight knocked on the neighbour’s door. There’s a small baby and another child who live there and were all taken out.”
“I left the house about 1.30pm and came back at 4pm and there were police cars everywhere and forensics.
“The family always kept themselves to themselves so we didn’t see them very much. It’s a shock and it’s scary but you don’t know what going on behind closed doors.
A neighbour alerted police at around 2pm on Saturday heard the cries of three children all under eight in their Oldbury home, West Mids.
He said: “This is a truly tragic incident: it’s understood the woman was violently attacked before the offender took his own life.
“The timeline of exactly what happened is unclear but we believe the two people died during the morning.
“There were three children, including a small baby, present at the address when officers made the discovery − they are being looked after by loved ones and will receive specialist support.”
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