A car following behind picked her up and they gave chase.

A police car that had been behind it gave chase.

The police saw that car about 20 minutes later and gave chase.

At least something that would allow him to give chase.

But they were all too far away to give effective chase.

She was on her feet and out the door before he could give chase.

He ran into the street, gave chase for a moment, then stopped.

The Dog had started to give chase, but they were too fast for him.

But just because it was there, dead ahead of him, he gave chase.

Though not all of them recognized him, those who did gave chase.