An old-fashioned way of reading the time

My elderly grandmother, before she passed away, had a very distinct way of reading the time. It has been quite some time since she passed away and I can’t quite remember the exact phrasing she used when telling the time. I have searched google but unfortunately all I can find is old methods for telling the time, which isn’t quite relevant (and she certainly wasn’t that old).

As best as I can remember, her way of reading the time was something like this; for example if the time was 5:45 or 6:28.

‘Five and forty past the five’,

or

‘Eight and twenty past the six’.

Is anyone familiar with this way of expressing the time and can give me more information on it?