It's awful that such an emergency happened. Hopefully things turn out OK in the end.
That said, I'm surprised that a title company can operate with only one employee that can perform this key function. I would think they could find a backup to handle this role if there is an emergency. Furthermore, if a process that should take a day is going to take over a week (and counting), they should notify their customers of the delay (and ideally with a plan in place for when they will file the deeds).
(I'm generally annoyed with *** because they messed up every piece of paperwork, multiple times... And I'm not exaggerating, sadly. I did get it all corrected in the end, but I'm not impressed at all. You should not need to correct your wife's last name multiple times and have them still not get it correct...)