Dramatic video footage shows the woman - along with her elderly husband - ducking for cover in the back of the vehicle as the missile smashes through the window.
In the footage, the woman can be seeing crying out in despair as the brick hits her in the face while her husband attempts to cover the wound as blood pours down her face.
The driver can be heard saying 'hang on folks' - immediately redirecting to drive to a hospital.
A reported seven cars were damaged on the same night when thugs assaulted multiple vehicles with bricks and stones.
The footage was released by Dudley Private Hire & Taxi Association in a bid to raise awareness of the difficulties taxi drivers face.
The taxi company confirmed the woman was treated in hospital for a fractured skull after the attack.
Shaz Saleem, Chairman of Dudley Private Hire & Taxi Association, previously told MailOnline the attack was 'disgusting' but said it is not unusual.
He said: 'Incidents like the video are not new, we experience such incidents on a regular basis with taxis being attacked with eggs, stones and on this occasion a brick.
'We released the video to make people aware of the difficulties the drivers face and we wanted the attackers to see the damage and injuries they cause.
"For them it's a joke but as you can see this is no laughing matter."
Mr Saleem added that many people have been injured in the past, but they have had positive support by West Midlands Police via Dudley Taxi Watch, a safety advisory group.
He also said the driver of the taxi used to work for DPHTA but is now based in Birmingham.
'Drivers are professionally trained and the driver did an excellent job of keeping calm and helping the passenger,' he said.
Speaking about the stone throwing attacks on 25 May, Inspector Steven Rice, from Harborne police station, previously told the MailOnline: "This completely reckless behaviour has resulted in someone being injured.
'It is only by chance that we are not dealing with something more serious, someone could have been killed.
'We have increased police patrols to stop this happening again.