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Police and security staff rushed to a corner of the ground supposedly holding home fans as the disturbance developed, where there appeared to be a lot of pushing and shoving in the stand.
The woman got onto the grass at The Hawthorns before kicking the ball at the man, who then took her off by the arm as she fell over and had to be picked up again.
Police vow to make more arrests as they "work with both clubs" and the Football Association to identify those involved in the disorder at The Hawthorns.
Play in the Black Country FA Cup derby between West Brom and Wolves at The Hawthorns was suspended for more than half an hour after trouble flared in the stands and fans spilled onto the pitch.
A number of officers were injured in the "completely unacceptable" violence which marred the FA Cup tie between West Brom and Wolves, police have said - as they gave more details about the six people who have been arrested.