What Rick says 
I’d focus on fewer songs more thoroughly, than a have a go at many. (Make sure you’re learning the same version!). You may want to arrange for one to learn the open chords and the other in a different key or higher up the neck.
Don’t forget the singing too. If one sings the main melody the other might be able to harmonize.
And record on your phone if it’s going ok. You can watch later and see what worked and didn’t. And yes, have fun.
Here’s one of my recent expreriences
(Chrisch… that’s not Swiss by any chance?)