They have a brand new campus in west London and last night she was helping at an event in White City which is near to the site of the tragedy.
The cause of the fire isn't yet known, but residents say they've known for years that the Grenfell building was a fire hazard.
The tower, built in 1974 on the low-rent housing estate in North Kensington, sits in a part of west London surrounded by some of the most affluent areas of the capital. A huge plume of smoke wafted across the London skyline and left a burned-out hulk in the working class, multi-ethnic neighborhood.
London fire commissioner Dany Cotton said it was not safe for fire crews to go all the way out to the edges of the building.
"Dozens of families have been rehoused and fears are growing for the missing".
Firefighters said they had rescued 65 people - some in pyjamas - from the 43-year-old block.
May on Thursday said a public inquiry was necessary to make sure "this bad tragedy is properly investigated", the Guardian quoted the prime minister as saying.
Policing and Fire minister Nick Hurd said emergency checks would be carried out on tower blocks undergoing similar renovations.
Some residents attempted to use bin bags as makeshift parachutes in a desperate bid to escape.
"There's people at their windows: 'Help me, help me, help me!' You can see the fire go into the house and into the last room that they're in, and just engulfing their whole apartment". "It just reminded me of 9/11", said Muna Ali, 45.
Eyewitnesses said that fire also prompted the concern that the continuous fire in the Grenfell tower might collapse it.
Corbyn spent about half an hour inside the church, which has been feeding and sheltering displaced people since yesterday morning. She said firefighters witnessed people jumping and throwing their children out of the building.
When the woman indicated she was going to drop the infant, "a gentleman ran forward and managed to grab the baby", she added.
Santana Hailstones, 6, said she "really likes" Jeremy Corbyn and was excited to meet him. She and her grandson sat outside the building, helplessly watching those trapped on higher floors.
Laminated signs bearing missing peoples' phone numbers are tied to the fence next to notices from happier times advertising the Summer Fete with its barbecue, children's games and giant slide.
The queen said: "Prince Philip and I would like to pay tribute to the bravery of firefighters and other emergency services officers who put their own lives at risk to save others".
Some residents said they were not woken by smoke alarms, that there were no sprinklers and that recently installed cladding had seemed particularly flammable.
At St. Clement's Church, where evacuees gathered, Hadra Hassad was trying to find one of her closest friends, who lived on the 21st floor.