The built-in Facebook “Data Transfer” service doesn’t include Tagged Photos. This sucks. As a workaround, you can use the following tools to migrate your photos with correct date/time stamps.

These instructions are Windows only, though I don’t see why similar tools wouldn’t work for other platforms:

1. Download the Tagged Photo Exported for Facebook Chrome extension
2. Run the extension as per the instructions, while you’re logged into Facebook.
3. When you get to step 7, download the CSV metadata provided by the plugin. This contains the names of the files & the correct timestamps — put this into the album_files directory you saved earlier.
4. Run the following one-liner in PowerShell while in your album_files directory. This will transfer the Timestamp into the Photo filedata:
   Import-Csv exif.csv | ForEach-Object { $(Get-Item $_.Filename).LastWriteTime = [datetime]::ParseExact($_.Timestamp,'yyyy-MM-ddTHH:mm:ss.000Z',$null) }
5. Finally, download and run jhead to create the EXIF data in the photos based on the file date/time.
   .\jhead.exe -mkexif *.jpg
6. Leave the developer a 5 star review :)

If you need any assistance with the instruction above, please comment. I’ll aim to keep them updated, though they may be moved into the plugin at some stage.