the system folder is under your Windows OS user folder, under AppData - look there under roaming
Also, 4.1 is many years old. Current version is 20.2 - you might consider updating sooner vs later.
Thank you for your help.
I found the "connections.xml" file by searching for it in Windows. Next, I saved it on a USB drive, and then restored it on the new PC's sql developer by right clicking on "oracle connections".