OK. Dreamweaver finally allowed me to move the folder. There are still broken links that I need to fix, but my splash page actually looks like my splash page. Thanks!
In case anyone else is having this issue, here's what happened and what I did to fix it.
I made my site in Dreamweaver, and told it to "put" its files to my FTP server. The problem was that when it connected to my FTP server, it connected to my root account, not to my domain name. Thus, my site was uploaded, but not the images I'd worked so hard on, so there was a definite whiff of 1994 about it. Since this is my portfolio site for my fine art work, this was a problem.
I tried uploading the images to my domain from my Net2FTP window, but no luck. After several hours over the space of a couple of days, I found this helpful bit of information. I went back into DW, told it to connect to the FTP site, and moved the "images" folder into the "mysite" folder. Then I deleted the "images" folder from my root directory. THEN it worked.