Big brother was already mentioned, but what about Orwell? Thanks to 1984 his name basically became the synonym for the "all-seeing eye".
Clipper
TRUMPer
Bubbles
If it is a serious monitor/alert program, perhaps TownCrier.
If it is a jokey monitor/alert program, perhaps NoseyBirb.
Hotdog or Albertros
TownCrier would be good.....so would a variation on your other one. Could call it NoiseyBird.
Moon Child, just so you can constantly answer that it comes from Neverending Story if anybody asks.
Jackdaw (type of crow, crows are sharp-eyed and smart)
Penitus Oculatus (the emperor's personal guard in Elder Scrolls- translates roughly to Thorough Eye)
Quoth the Raven, or Nevermore (Ravens are even smarter than crows, and i always get the sense that The Raven from the poem is just chillin, watchin, judging the narrator.)
Vigilo Confido (XCOM slogan, roughly means "i am confident, i am vigilant" or "i watch, i believe" and XCOM is this shadowy organization that is always watching for alien threats, so... works)
GLaDOS ?