How do I get the files to go to the library? Why is Limewire unable to send them there if they are indeed complete? I have read through this forum and am still confused. Thanks!

First - What O/S are you using? (Mac/Linux/Windows xx) - This helps to get the right information fro someone familiar with your system.
You can tell Limewire where to save files using Tools / Options / Saving (Save Directory)
You can tell Limewire what files to share by going to Tools / Options / Sharing - The directories (folders) that appear in this list are the ones that will also appear in your library.