At the same time that I found those walnuts, I also found what I now know to be air potatoes.
It was my first time seeing them, but they looked organic and beckoned to be brought home. Wasn't sure if they were some type of sponge or fruit or what. I'm a patient person and trusted that I would stumble upon the answer some day.
And lo, browsing permies, I came upon this thread about air potatoes. https://permies.com/t/131476/Edible-Air-Potato-Dioscorea-bulbifera
Awesome! I knew what they were. Of course I have eaten yamaimo, the root of air potatoes, but didn't know about their bulbils. So thanks for that thread, Caesar Smith!
Less confident in their viability than the walnuts, I waited to post in case they didn't sprout so as not to disappoint.
I stuck em in a pot and waited and forgot about them. It took a few days to remember what they were when they sprouted. When I did remember, I admit I danced a little dance.
Try to get 'em tested in a lab before tasting them, if you intend to eat them. Poisonous types are dangerous, and require grating, washing, steeping, drying and other repetitive steps to render them edible (and that might not even work for the worst types). But if you've found an edible type, you have quite the treasure on your hands.
I just collected the last of my "Sena" bulbils, and "Hawaii" is starting to produce, several months earlier than any other variety. This species keeps surprising me.
Keep posting the progress, I'm keen on seeing how yours does. Looks like it's starting off right!
Also... Nice mock strawberries. I hear they're very mild, but I wouldn't mind growing them myself.