Never mind!  Wget can do this.  If anyone's curious, the parameters go
something like this:

 -p -E -i Links.txt

Where:

-p ensures that wget grabs all files embedded in the page
-E ensures that the proper file extension is appended
-i Links.txt tells wget where to find the URL list

Learned how to do it, and explain it, on my own in an hour.  Can't beat that!

Thanks for the help!  :)