I often see posts from folks that need to download old versions of Photoshop Elements in order to install it on a new computer or a new hard drive. Old versions of Photoshop Elements (and Premier Elements) from v7 (2008) through v2022 are available to download from ProDesignTools.
You will of course need to have a genuine serial number to actually use the program. Otherwise, it will just be a Trial. Use the link at the bottom of this post. Just scroll down about 3 or 4 pages till you get to the section titled "Elements Direct Download Links".
This is from ProDesignTools: "These links go to the authentic and secure files residing on Adobe’s servers, are guaranteed genuine, safe, and legal, and will not change..."