I am understanding that you can import your .mts files into the Premiere Elements 11 project but are having trouble with the end product.
Please clarify regarding when you wrote "..but the publish+share does not produce the finished video in my documents."
How do you want to export...as a .mov file? If so,
1. First let us get the classical question out of the way, "Do you have the latest version of QuickTime installed on the same computer as Premiere Elements 11?
2. If so, what are you selecting for Presets when you go through Publish+Share/Computer/QuickTime, and are you changing any of the expert settings under the Advanced Button/Video Tab of that selected preset?
3. Now here is what I am not sure of...what do you see designated in the export field for Save In? Does it show the path to Documents?
4. If it does show the path that you intended, what does the export progress bar show while the export is taking place? Does it come to an end with a message about "Save Complete". If not, what happens?
Looking forward to your follow up, hoping to sort through the details to find an answer that will work for you.