Exists a means to look all the event-logs on a LAN for a specifc occasion?

You can relay the Windows event log occasions to a syslog web server making use of a device like the Eventlog to Syslog Service utility or a software program like EventLog Inspector.

You can look the occasion browse through remote equipments with PowerShell, making use of System.Diagnostics.EventLog. Thinking the occasion you're seeking remains in the System log ...

# get a list of all server names, maybe from AD, we'll assume it's in a variable called $serverlist  
$eventIdToFind = "1234" # or whatever ID you're looking for
$logToSearch = "System"
foreach ($aServer in $serverlist) {  
  $theLog = New-Object System.Diagnostics.EventLog($logToSearch, $aServer)  
  $matchingEventList = $theLog.Entries | where { $_.EventId -eq $eventToFind }
  if ($null -ne $machingEventList -and $matchingEventList.Count -gt 0) {  
    "Event Found on $aServer" # or do something else with it here  
  }  
}