snatch something up

He snatched up the phone and stood looking out of the window.

Then he snatched up my hand and got us moving again.

She ran and snatched up the phone off the table in the next room.

It was snatched up after only one day on the market.

He snatched the head up by the hair and held it against the light.

Long arms reached out and snatched her up against him.

Some houses are snatched up before his wife has a chance to see them.

A minute later she came back and snatched it up again.

She reached down, snatched up the rose and began to run.

How is it that some woman hasn't snatched him up?