30 June gives her more time to get some kind of deal with Corbyn, but not enough time for a confirmatory referendum ("The minimum 10-week referendum period is specified in PPERA", and that's after you've set it up in parliament and decided the question - "A fair estimate is that the whole process would take a minimum of 21 weeks", " the minimum time for these combined processes would be around 22 weeks" ).

So a new referendum needs an extension to the end of August at the minimum. Corbyn himself may be OK with that - he's resisted attempts by most of Labour to insist on a new referendum. He may let her do this.

See:

Link to tweet

There are elections for the European Parliament coming soon. The parties there are not beholden to countries but represent people from all over Europe, regardless of their country.

If Britain is still a EU-member by the time of the election, the British get to vote whom to send to the European Parliament, even though they won't be constituents anymore shortly therafter.

Question. What would happen if they just decided to forget the whole thing and went back to the way things were? Is it too late for that?

The European Court of Justice ruled that the UK can revoke Article 50 (as long as it was done in good faith, i.e. not as a bargaining manoeuvre) at any time before the deadline runs out without incurring any penalties.

As for the reply above this one, the government has ignored referendums in the past (about Scottish devolution way back, for instance) and this was a non-binding - a.k.a. advisory - referendum, so the only cost would be political, and the way public opinion's shifting at the moment it might even be a net positive for MPs in Parliament as a whole, though May & Co. would be humiliated and their party might never recover. It likely won't recover from all this whatever happens anyway.

It was a non-binding referendum. A court found that if it had been a legally binding referendum, it should have been declared invalid because of all the irregularities. It's a weird twist on Catch-22.

As for revisiting the subject with a second referendum, here's one of Brexit's leading lights:

It just seems like a lot of trouble to put a country through without having all the t's and i's crossed and dotted before taking the vote. Maybe it'll get better once everything is resolved. I hope so.

but whoever did it would get voted out, probably with ERG/Farage/UKIPers taking over. Who'd make things even worse. Just ignoring the referendum would be a recipe for the furthest right government we've ever seen. A referendum is needed to say "yes, we got it wrong". People don't appreciate being told they got it wrong.

of those who dared to predict what might happen with Brexit.

Cant about "ignoring the referendum" is right out of the same kennel as "will of the people" and "there'll be blood on the streets", and is predicated on the idea that if you give the right wing what it wants, it'll just quieten down. History doesn't bear that out.

Your prediction about "the furthest right government we've ever seen" assumes there isn't a backlash against the wholesale pandering to the right-wing Leavers over the past few years. Look how far it's gotten us - along the road to Brexit, let alone a prosperous national future.

Any claim those in the Tory Party's Leave wing had to pursue Brexit has been forfeited because they didn't plan ahead, didn't do the work when they held all the cards, and have shown themselves utterly unfit to deliver on what they presented noisily and insistently as the simplest process in the world, let alone govern.

A second referendum wouldn't answer your objection about "being told they got it wrong". To change their vote, a certain proportion of the electorate would have to accept "yes, we got it wrong". Hell, even some among the DUP leadership are saying they'd rather Remain than risk the hallowed Union (which, like the Tories - and Labour if it doesn't give itself a good shake real soon - may be done for in any case).

She's the Queen dammit.

Stop hanging on to something the public clearly doesn't want.