they have got vs they have gotten

Some examples from the web:

• I've had a call from the baby shop and that stuff upstairs is theirs and they have got our hen night stuff.
• They have got lovers, friends, relatives, a billion loose ends.
• They have got these bacon-wrapped hot dogs.
• - They have got hotels where you can...
• Now, they have got a time delay.
• But... they have got an historical match.
• That makes them happy and grateful for what they have got.
• No, they have got to watch their step.
• Yes, they have got plenty.
• But now they have got rid of this clot.
• I think they have got this wrong.
• New York City's Finest is doing their job and they have got their man.
• I mean, I told Vicky they have got to trim those branches.
• And I saw that they have got a great product, but they don't trust it.
• I am firmly in favour of the Serbs being granted membership once they have got rid of Milosevic and have a democratic government.
• But they have got a lot of people working there, I suspect.
• Right. Tell the guys at Homeland Security... that we need every agent and functioning satellite they have got.
• Now, they have got the right idea.
• Well, I understand that, because they have got the highest rate of employment in the European Union.
• Mr President, I hope the Commissioner has finished texting everybody to say that they have got the tyre manufacturers sorted out.

Some examples from the web:

• Even they have gotten into the gossip biz.
• Could they have gotten into another field?
• How could they have gotten past security?
• When we first find Natasha and Steve since "Avengers," they have been tasked on many different missions together, so they have gotten to know each other a bit.
• Twice today, twice, they have gotten away.
• How else could they have gotten Wallace's name?
• How could they have gotten exposed to that much cadmium?
• I mean, how can they have gotten the door code?
• Someone had to open could they have gotten the money?
• And I said, Well, there are a couple of men from my village who have been out and they have gotten an education.
• They may have gotten into a little spat.
• They may have gotten into something they shouldn't have.
• They would have gotten their wish if you hadn't pulled me out.
• Seems like they might have gotten more sensitive.
• They must have gotten the cars mixed up in Holland.
• They could have gotten our names from the people they already took.
• They must have gotten my letters.
• Don't worry. They'd have gotten me anyway.
• They could have gotten mine for cheap.
• They must have gotten Gates' alarm code out of her.