The quest is still in the journal, I have the statue, but nobody to give it to. I figured I could still bring it to her store and give it to her, hum, husband? But that doesn't seem to be possible.
I also know PC users love to use their console commands for problems like this, but I'm playing on an Xbox. Besides, I'd like to do this properly. Isn't there really any way to finish this with Lisbet dead, especially considering that she's a character that players may kill at some point because of the quest I mentioned?