Someone else with an XP has had problems with Firfeox crashing but not reporting CrashIDs. No solution yet, but it may be worth reading and trying the suggestions in the thread

• /questions/922883

The user in that thread is having problems with Firefox 11 but not Firefox 9.

Edit
Do not forget the standard troubleshooting step

• Try in safe mode <-- clickable link for instructions
  • no need to do anything in the first checkbox options window, just click on continue
  • if you continue to have problems in safe mode, ensure that whilst in safe mode you disable all plugins
    see also troubleshooting extensions and themes
  • I have been reminded that security software may need to be considered

There are other things that need your attention.

Your above posted system details show outdated plugins like Flash and Java with known security and stability risks that you should update.

• http://www.mozilla.org/plugincheck/

• http://kb.mozillazine.org/Firefox_crashes
• https://support.mozilla.org/kb/Firefox+crashes

I've updated all of my plugins and still having the problem today.

Did you try a clean reinstall (delete the Firefox program folder) and a new profile?

Download a fresh Firefox copy and save the file to the desktop.

• Firefox 11.0.x: http://www.mozilla.org/en-US/firefox/all.html

Uninstall your current Firefox version, if possible.

• Do NOT remove personal data when you uninstall the current version or you lose your bookmarks and other data because all profile folders will be removed.

Remove the Firefox program folder before installing that newly downloaded copy of the Firefox installer.

• It is important to delete the Firefox program folder to remove all the files and make sure that there are no problems with files that were leftover after uninstalling.
• http://kb.mozillazine.org/Uninstalling_Firefox

Your bookmarks and other profile data are stored elsewhere in the Firefox Profile Folder and won't be affected by a reinstall, but make sure that you do not select to remove personal data if you uninstall Firefox.

• http://kb.mozillazine.org/Profile_folder_-_Firefox
• http://kb.mozillazine.org/Profile_backup

See also:

• https://support.mozilla.org/kb/Basic+Troubleshooting#w_8-make-a-new-profile

If that new profile works then you can transfer some files from the old profile to that new profile, but be careful not to copy corrupted files. See:

• http://kb.mozillazine.org/Transferring_data_to_a_new_profile_-_Firefox