One of the things I love about "UFO" believers is that they forget UFO is technically anything that hasn't been positively identified by the person (or persons) viewing it...to someone else it might be a badly out of focus bird, or man made satellite
Re observatories, iirc most/all tend to have multiple telescopes as well as the main one they usually have at least one smaller one to assist with manual aiming of the big scope, or for when the big scope is busy

It's also worth remembering that most Observatories have several lists of phone numbers, and the ability to call on other observatories if they spot something unusual that they may not be able to get a good shot of (I believe it's fairly standard for if one observatory sees something of serious interest, for them to call others who may be able to continue observations).
And that's before you take into account the "OMG I've got a UFO, this is important, I'll call Dave and see if he can get his camera out" effect (you can after all leave a telescope aimed at a particular spot for a while, certainly long enough to get your friend on the phone, or call down to the officer/university).
Personally I think I'll start taking "UFO's" as Aliens slightly more seriously when the pictures of them are taken to at least the sort of standard my nephew could manage aged about 8, with a cheap Kodak camera.