Pog,
It took me a few seconds to realise what you were asking. I saw "neighbors" and immediately thought you were asking me if my neighbors with the vicious dog called me about what's up there, and I was trying to work out the joke you might be trying to make!
Then I saw "up there", so think I understand what you're asking!
I can't remember another observatory on MK seeing something astronomically related when they then rang us up and also asked us to look at it, but technically, yes, it's possible to do that. There are calls made between the telescopes every night about weather or unusual things going on but rarely to actually slew the telescope itself to observe something. Right now I can think of only one circumstance where that might happen, and that's if a bright supernova goes off in our own Galaxy and is seen immediately by someone on the mountain and alerts every one else. Even then they might not want to do that and get the headlines for themselves because it is such a rare event (once every few hundred years).
If some strange UFO were seen then there would be calls but only to get others outside the observatories to check whether someone was becoming unbalanced...
However, most of the telescopes on MK can react quickly to sudden astronomical events. We do it often and have a programme set up to do this exact thing. The call to observe something though, rarely, if ever, comes from another telescope on the mountain. More often or not it comes from an orbiting satellite observatory built to detect such events (such as Gamma Ray Bursts or GRBs). As soon as we get the alert we can be on it within seconds, literally. It often takes a few minutes for the alert to get to us though because it does need checking, usually from people on the other side of the planet.
You might be interested in this just as an example, and hope the above answered your question! (It wasn't ignorant at all btw!).
http://www.stfc.ac.uk/News+and+Events/5842.aspx
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"Twenty minutes after the burst, Tanvir and his colleagues detected an infrared source at the Swift position using the STFC’s United Kingdom Infrared Telescope (UKIRT) on Mauna Kea, Hawaii. "Burst afterglows provide us with the most information about the exploded star and its environs," Tanvir said. "But we have to target afterglows quickly because they fade out so fast.""
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I was at UKIRT that night. We were closed due to bad weather but opened up on getting the alert because it looked significant and the target was about to set. If the weather had been good that evening we'd have likely observed that target within ten minutes of the burst being detected, but we had to spend 10 minutes opening the dome and getting the telescope pointed correctly and focused - the other ten minutes was the time spent by the satellite re-orientating itself to confirm its own detection and then sending out the alert.
I wrote about it in my blog if you're interested:
http://apacificview.blogspot.com/2009/04...-away.html
Tom
http://apacificview.blogspot.com/
