I have photos on an external hard drive and would like to back it up to another external drive
Yes....IF......
1) The photos external drive is connected directly to your Mac via USB, FireWire or Thunderbolt and formatted in Mac OS Extended (Journaled)
2) The "other" external drive is your normal Time Machine target drive for your Mac's backups
If both conditions above are met, click on the Time Machine "clock" icon at the top of the Mac's screen
Click on Open Time Machine Preferences
Click on Options
Click on the photos external drive to highlight it
Click the - (minus) button at the bottom of the list to remove the drive from the list of items that are excluded from backups
Time Machine will back up your Mac normally and now back up the photos external drive