Aha very interesting, so this old laptop (it was a very very small micro machine) probably was a Linux machine then.
In that case try to find where the wallet would be on a Linux machine.
But the weird thing is that I cant seem to find where the Electrum folder seems to be. I can only find those files as a clue that there should have been Electrum on this machine.
folders staring with a dot (.) are hidden... Either use a terminal, or look at your gui file explorer's settings to show hidden files and folders... I updated my previous post with the paths that could be interesting