Here's the path for mine, as shown in Console's error report:
/Library/Apple/*/SafariSupport.bundle/Contents/MacOS/SafariPlugInUpdateNotifier
I've done a search and found 2 instances of the SafariSupport.bundle:
/Library/Apple/System/Library/CoreServices
/System/Library/Templates/Data/Library/Apple/System/Library/CoreServices
Inside each bundle, I found identical .plist files for SafariPlugInUpdateNotifier, which may or may not have anything to do with the crashing. Here's what's in the property list file:
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd">
<plist version="1.0">
<dict>
<key>EnablePressuredExit</key>
<true/>
<key>Label</key>
<string>com.apple.SafariPlugInUpdateNotifier</string>
<key>Program</key>
<string>/Library/Apple/System/Library/CoreServices/SafariSupport.bundle/Contents/MacOS/SafariPlugInUpdateNotifier</string>
<key>LaunchEvents</key>
<dict>
<key>com.apple.fsevents.matching</key>
<dict>
<key>UserFlashPlugInModified</key>
<dict>
<key>Path</key>
<string>~/Library/Internet Plug-Ins/Flash Player.plugin</string>
</dict>
<key>SystemFlashPlugInModified</key>
<dict>
<key>Path</key>
<string>/Library/Internet Plug-Ins/Flash Player.plugin</string>
</dict>
</dict>
</dict>
</dict>
</plist>
You can see two paths referencing Flash Player - the root and user Library/Internet Plug-Ins folders. Mine are both empty, fwiw - I made invisible files & folders visible during this check. It is likely that this information is useless, I was just looking for clues.
UPDATE: I find it laughable that the Apple Recommended Solution in this thread is that the recent update fixes this issue. It most certainly is not fixed, and I'm current (Catalina).
UPDATE 2: /System/Library/LaunchAgents contains an alias to the previously-mentioned .plist file inside the bundle at /Library/Apple/System/Library/CoreServices