Of course Tony stayed. Where else did he have to be? Destroying the lives of anyone involved in hurting Pepper or Happy, really, but he suspected he needed Pepper awake for that. She might have a lot to say on the subject.
Morning came abruptly, before the sun rose and with a new layer of snow along the windowsill. It was the nurse that came in to check on her patients that woke Tony, startling him out of his seat again and sending him twisting back into his hunched shape as his back spasmed in protest. "Want me to get you something for that, dear?" the nurse had kindly offered after silently watching as she fussed over Happy, but Tony waved her off, shaking his head apologetically.
"It's fine. Just the chair." Painkillers did sound staggeringly good just then, though, but Tony had plenty of time to get himself to his feet before Pepper had blinked the sleep from her eyes. "Come on, I'll buy you breakfast," he offered, with a conspiratorial wink the nurse's way as she frowned at him, his promise not to leave the premises.
Pepper didn't leave, anyway, alone only for a few minutes with a cup of bitter coffee from the cafeteria as Tony ran through the morning traffic to get them some much more appetizing breakfast burritos and donuts. When they were finally settled in to eat in a quiet waiting room and Tony's fingers didn't feel too much like they would fall off from cold, that was when he finally shot Pepper a sidelong look, expectant and only superficially patient. She could only beg off explaining what happened for so long. Tony knew what that thing in her chest could do.