They'd have got something in Scotland: here, each child is entitled to (at minimum) an equal share of one third of the moveable estate. If a child has died, then his/her children inherit that share.
Someone I know very well had a situation where the children didn't spend as much time on their dad as they might have. He had been unwell for many years.
After he died, his wife got her solicitor to send them the cheques for their share of one third of the moveable estate. They waited a month before cashing the cheques for some reason - possibly they were accessing the confirmation/probate details to verify that that was all they were entitled to. Their father hadn't been a wealthy man, but they possibly imagined that he had more money in the bank.
The wife got a phone call from the bank, asking her to verify that one of the cheques was genuine. She did so and alerted them to the fact that two more cheques were yet to be cashed.
The next couple of days, she was in hospital for a planned operation. A few days later, she heard from her solicitor - he'd got phone calls about the other cheques, claiming they'd bounced. They hadn't - but the bank hadn't been able to get hold of the wife, so had written to her saying that she should issue replacement cheques if she wished the recipients to get the money.
She got it sorted out - the bank agreed to honour the original cheques, but said that it would take up to another 10 days to get the money to the recipients.
The solicitor's secretary then phoned them to say that their money was on its way, albeit delayed.
The wife had a wry smile to herself about the fact that the recipients had only got in touch because they thought their money was gone.