catch block

Will both exceptions fire if the exception raised is a COMException, or will just the COMException fire and ignore the general Exception?

try
{
...
...
}
catch(COMException eeee)
                  {
                        genFuncs.SendMessage("tom@thebuyersfund.com","Problem in BFFaxCOM method LoopThroughGiftLetterBookmarks","EntryID:  " + this.FAXCOM_ENTRYID + "\n\n\nERROR MESSAGE FOLLOWS:  " + eeee.ToString());
                        genFuncs.SendMessage("jasons@thebuyersfund.com","Problem in BFFaxCOM method LoopThroughGiftLetterBookmarks","EntryID:  " + this.FAXCOM_ENTRYID + "\n\n\nERROR MESSAGE FOLLOWS:  " + eeee.ToString());
                  }
                  catch(Exception eee)
                  {
                        genFuncs.SendMessage("tom@thebuyersfund.com","Problem in BFFaxCOM method LoopThroughGiftLetterBookmarks","EntryID:  " + this.FAXCOM_ENTRYID + "\n\n\nERROR MESSAGE FOLLOWS:  " + eee.ToString());
                        genFuncs.SendMessage("jasons@thebuyersfund.com","Problem in BFFaxCOM method LoopThroughGiftLetterBookmarks","EntryID:  " + this.FAXCOM_ENTRYID + "\n\n\nERROR MESSAGE FOLLOWS:  " + eee.ToString());
                  }