Key points

A PMQs that got off to a slow start but ended with Jeremy Corbyn calling for Amber Rudd’s resignation over the Windrush scandal.

Theresa May and Corbyn start by congratulating the Duke and Duchess of Cambridge on the arrival of their third child.

May says MPs will want to mark the anniversary of Stephen Lawrence’s death. Corbyn says Lawrence’s parents, Doreen and Neville, fought for years to get justice. Institutional racism must be driven out wherever it occurs, he says.

Turning to the Windrush generation, he says there is a lack of trust. Can May confirm those denied work and benefits will be fully compensated?

May agrees with Corbyn about stamping out racism “in every form”. On Windrush, she repeats the offer made by Amber Rudd. There will be a compensation scheme, she says; everyone knows the Windrush generation are British.

How Amber Rudd let 'heartbreaking' Windrush suffering drag on Read more

Corbyn hits back that it is not an act of generosity to give people rights that are theirs already. He says an internal Home Office memo from May’s time as home secretary talked about creating a hostile environment and the possible dangers. Why did May ignore it?

Play Video 1:06 Jeremy Corbyn on Amber Rudd: 'Isn't it time she resigned?' – video

May says Liam Byrne talked about creating a hostile environment for illegal immigrants when he was a shadow immigration minister. He is now on the Labour frontbench, she says.

Corbyn says May ignored warnings from Labour MPs about the impact her policies would have on the Windrush generation.

May says these people have a right to be here but they were not documented, she says. She says Corbyn is talking about policies aimed at people here illegally. The Windrush case relates to people here legally. She quotes various measures taken by Labour to crack down on illegal immigration.

Corbyn says May seems to want to get away from the Windrush issue. He says the Equality and Human Rights Commission warned about the dangers of the Immigration Act. Will May review the legislation?

May accuses Labour of ignoring the facts. The government is not ignoring the problems facing the Windrush generation and points to a Home Office taskforce to help them. The government will give them citizenship to recognise that they already are British. The problem is that before 1973 these migrants were not given documents.

Corbyn says May in 2013 said she wanted to create a hostile environment for migrants. He says there would be no compensation if it were not for campaigning by Labour MPs. He says the withdrawal of legal aid made it harder for migrants to challenge government policy. Can May tell us the hostile environment is over and the immigration targets will be scrapped?

May says dealing with people who are here illegally is different from the Windrush cases. She says in 2013 the then shadow home secretary, Yvette Cooper, said much stronger action was needed by government to bring illegal immigration down. She repeats the point about the Windrush generation being here legally and says the public want government to deal with illegal immigration.

Corbyn says we are talking about the climate created by May when she was home secretary. She knew full well the problems she was creating. Rudd said last week the Home Office sometimes lost sight of the individual. But we know now she wanted tighter rules. The current home secretary has taken a policy and made it worse. Isn’t it time she took responsibility and resigned?

May says up and down this country people want the government to take action against people here illegally. The government wants to help those here legally. We welcomed the Windrush generation. We need to ensure they remain here. But the government also needs to take action against people here illegally. If Corbyn wants to talk about fairness, let’s look at what Labour would do. It would tax people and destroy jobs.

Snap verdict

For many listeners that may have been a confusing PMQs to follow, because for much of it Corbyn and May appeared to be talking at complete cross-purposes, but there was no escaping the fact that May was dodging legitimate and awkward questions about the impact of her policies as home secretary and Corbyn successfully had her wriggling. He repeatedly asked why she ignored warnings about the impact her “hostile environment” strategy would have on Windrush generation migrants, and she couldn’t answer. Instead she more or less ignored the points he was making and kept trying to bring the exchanges back to the issue of illegal immigration, not legal, Windrush-era immigration.

It may well be the case that there is more public support for May than Labour MPs (or Guardian readers) would care to admit when she says the public do want to see the government crack down on illegal immigration. And Corbyn’s firm questioning took a slightly odd turn at the end, when he threw in a surprise call for Rudd’s resignation at the end of an exchange that had focused on May’s own culpability.

But, overall, May was on the defensive and her effort to defend herself against Corbyn by quoting Byrne and Cooper against him was a strategy doomed to failure. You won’t find “controls on immigration” mugs on sale at Labour HQ any more, and there is a very good reason why Cooper is no longer shadow home secretary. Corbyn can’t be held responsible for Labour immigration policy pre-2015; he opposed it as strongly as anyone.

Memorable lines

May on measures to help the Windrush generation:

The Windrush generation are British, they are part of us and there will be a compensation scheme.

Corbyn calling for Rudd’s resignation: