Thank you, Linc.
Before posting the log, I want to add that I tried changing the name of my computer in System Preferences / Sharing (per Pondini's advice to another posting), but that didn't help.
In the log below, I changed the names of the computer and the user. Did I leave in any personal info that I should have deleted? ... Thanks again in advance.
So, the log:
Apr 19 15:38:36 my-iMac.local com.apple.backupd[379]: Starting manual backup
Apr 19 15:38:36 my-iMac.local com.apple.SecurityServer[19]: Succeeded authorizing right 'com.apple.ServiceManagement.daemons.modify'
Apr 19 15:38:37 --- last message repeated 1 time ---
Apr 19 15:38:37 my-iMac.local com.apple.backupd[379]: Backup failed with error: 19
Apr 19 15:38:37 my-iMac.local com.apple.backupd[379]: Starting manual backup
Apr 19 15:38:37 my-iMac.local com.apple.SecurityServer[19]: Succeeded authorizing right 'com.apple.ServiceManagement.daemons.modify'
Apr 19 15:38:37 my-iMac.local com.apple.backupd[379]: Backing up to: /Volumes/First Passport/Backups.backupdb
Apr 19 15:38:37 my-iMac.local com.apple.SecurityServer[19]: Succeeded authorizing right 'com.apple.ServiceManagement.daemons.modify'
Apr 19 15:38:38 my-iMac.local com.apple.backupd[379]: Using file event preflight for Collins' HD
Apr 19 15:38:39 my-iMac.local com.apple.backupd[379]: Will copy (22.8 MB) from Collins' HD
Apr 19 15:38:39 my-iMac.local com.apple.backupd[379]: Found 287 files (22.8 MB) needing backup
Apr 19 15:38:39 my-iMac.local com.apple.backupd[379]: 782.7 MB required (including padding), 903.48 GB available
Apr 19 15:38:48 my-iMac.local distnoted[385]: # distnote server agent absolute time: 487.502554890 civil time: Fri Apr 19 15:38:48 2013 root: no
Apr 19 15:38:54 my-iMac.local sandboxd[389] ([388]): mdworker(388) deny file-write-owner /Users/kc/Library/Containers/com.apple.Notes/Data/Library/Notes/NotesV1.storeda ta-walplugin:/Library/Spotlight/Notes.mdimporter - find suspect file using: sudo mdutil -t
Apr 19 15:38:54 my-iMac kernel[0]: Sandbox: sandboxd(389) deny mach-lookup com.apple.coresymbolicationd
Apr 19 15:38:54 my-iMac.local sandboxd[389] ([388]): mdworker(388) deny file-write-owner /Users/kc/Library/Containers/com.apple.Notes/Data/Library/Notes/NotesV1.storeda ta-shmplugin:/Library/Spotlight/Notes.mdimporter - find suspect file using: sudo mdutil -t
Apr 19 15:39:04 my-iMac.local com.apple.SecurityServer[19]: Session 100014 created
Apr 19 15:39:05 my-iMac.local com.apple.backupd[379]: Copied 2013 files (23 MB) from volume Collins' HD.
Apr 19 15:39:05 my-iMac.local com.apple.backupd[379]: Using file event preflight for Collins' HD
Apr 19 15:39:05 my-iMac.local com.apple.backupd[379]: Will copy (Zero KB) from Collins' HD
Apr 19 15:39:05 my-iMac.local com.apple.backupd[379]: Found 10 files (Zero KB) needing backup
Apr 19 15:39:05 my-iMac.local com.apple.backupd[379]: 755.3 MB required (including padding), 903.45 GB available
Apr 19 15:39:08 my-Mac.local com.apple.backupd[379]: Copied 809 files (93 bytes) from volume Collins' HD.
Apr 19 15:39:08 my-iMac.local com.apple.SecurityServer[19]: Succeeded authorizing right 'com.apple.ServiceManagement.daemons.modify'
Apr 19 15:39:08 my-iMac.local com.apple.backupd[379]: Created new backup: 2013-04-19-153908
Apr 19 15:39:09 my-iMac.local com.apple.backupd[379]: Starting post-backup thinning
Apr 19 15:39:09 my-iMac.local com.apple.backupd[379]: No post-back up thinning needed: no expired backups exist
Apr 19 15:39:09 my-Mac.local com.apple.SecurityServer[19]: Succeeded authorizing right 'com.apple.ServiceManagement.daemons.modify'
Apr 19 15:39:09 my-iMac.local com.apple.backupd[379]: Backup completed successfully.