The hangover after a long night with Tallulah

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At 4.45pm yesterday Michael Vaughan went in to bat at the fall of the second England wicket. It was the first time he had batted No 4 since Bangalore in the week before Christmas in 2001, when he batted brilliantly for 64.

At 4.45pm yesterday Michael Vaughan went in to bat at the fall of the second England wicket. It was the first time he had batted No 4 since Bangalore in the week before Christmas in 2001, when he batted brilliantly for 64.

This might be the first of dozens of times Vaughan bats at four, but he will not be able to tell his daughter, Tallulah Grace, that he celebrated her birth with a memorable hundred. That was provided by Marcus Trescothick.

The skipper had not managed more than a few hours' sleep the night before, but it would be fanciful to offer that as the only reason for a modest performance. The cloud cover had got thicker and the wicket was less predictable when Scott Styris got one to bounce. Vaughan tried to steer it to third man but the shot dollied off the top of the bat to Stephen Fleming at slip.

He and Trescothick had added 55 runs together, and, of these, Vaughan had scored just 13 in 58 minutes. There were shots that stirred the memory ­ an effortless pull to midwicket, and two drives to extra cover ­ but the typical response was the forward prod to Daniel Vettori.

Afterwards, Trescothick conceded that the captain was "a little bit tired. Obviously, it's been a tough day for him so far, but he'll be OK."

At the approach to 6pm, it had already been a long day for Michael Vaughan. It had begun in the maternity wing of the Royal Hallamshire Hospital in Sheffield, and when he turned up for work at Headingley he reported that mother and child were well.

In other times that might have been the end of it, but in this child-orientated era, curiosity demanded more detail. So here goes: the birth was at 9.25pm on Friday; weight, 7lb 1oz ("a good weight", said Vaughan, as though he was holding a new bat).

A few minutes before play began, eight RAF fighters flew in formation over the ground, presumably to salute Tallulah, the captain's firstborn. Vaughan said that he and his wife, Nicola, had chosen this unusual name because they liked the sound if it, adding that she looks like a bit of a Tallulah.

We must all fervently hope that she does not behave a bit like Tallulah Bankhead, who was a star of screen and stage between the First and Second World Wars, and very naughty with it.

As a role model, she left much to be desired. An enthusiastically bisexual coke-head, her message to the nation's youth was: "If I had my life all over again, I'd make the same mistakes, only sooner." Of course, there might be a less evocative explanation: maybe it is because Tallulah sounds like Tally in the BBC's hospital soap, Casualty.

The initial excitement over, Headingley ceased to sound like a hospital visit. Despite the low cloud, Vaughan put on his sunhat, sunglasses nestled in the brim, and took up position at mid-off, and a spell by Matthew Hoggard illustrated stylistic differences between Nasser Hussain and Vaughan.

Hoggard is a problem bowler who can prove frustratingly expensive. Vaughan did not call on him for an hour yesterday morning. Considering Hoggard had opened the bowling at the top of the innings, this must have given him pause for thought.

In his first over, Vettori hit two half-volleys to the boundary. Nasser would have looked furious and dismissed a great trier and a decent bloke to third man. Vaughan did not look pleased, but at the start of Hoggard's third over ­ after another boundary in the second ­ he took the ball to Hoggard and they walked together to his mark. The skipper seemed intent on calming him.

Hoggard bowled Brendon McCullum in that over. Daryl Tuffey was lbw in Hoggard's next. Dire figures had achieved a patina of respect-ability: 2 for 93 instead of 0 for 93. It was a winning example of caring captaincy.

Vaughan sat on the players' balcony when Andrew Strauss went with Trescothick to do his job. Strauss had been the understudy at Lord's. Now he was the real thing, and looked it. He was out to a top-edge when he was 62, but the pair had put on 153, their second big opening stand in three innings together. "The momentum was with us," Trescothick said later.

Trescothick rated his own performance highly. "It was probably the hardest wicket I've had to bat on to get a Test hundred," he said. He thought the wicket had deteriorated with the weather: "Something about the clouds alters the pitch." The result? He thinks there will be one on this wicket. "The game's in the balance at the moment. It's going to be tough."

But they will want to win this for Tallulah.