It's called (literally) "Alert", and "Warning".
Here's an example, I basically killed a guard in H2:SA and ran away.
SpoilerIf you can't see it, it's at the bottom left. Here's a bigger image:
SpoilerIn Hitman: Contracts, it's "Alert". I actually couldn't get any alerts, since they're only on special occasions.
Alerts could be used for when the ship is being attacked, and when someone finds a dead body. Examples:
"ALERT: *Player* has found the dead body of *player/NPC* "
"ALERT: *Ship Name* is under attack!"
Warnings could be an alert that's important, or that will tell the crew vital info. For example, if Player1 killed Player2, and Player3 saw, you would see a notif saying:
"WARNING: *Player3* saw *Player1* kill *Player2*!"
"WARNING: Dead body of *Player2* has been found."
I got some images from amazing editing, on what this could look like. Excuse the warnings of being attacked at the top right, I couldn't get rid of those.
Yes, I know the messages are off center, and a bit messy, but it's what I could work with.
SpoilerWARNING AND ALERT:
SpoilerTell me what you think!