She can try fanfiction websites like Archive of Our Own (AO3). It has a vast collection of fanfics from various fandoms, so there's a good chance she'll find Jon fanfic there.
First, she can simply use a search engine like Google. She should type in 'Jon fanfic' and see what comes up. This might lead her directly to some fanfic websites or blogs that feature Jon fanfic.
Perhaps in the fanfic, Jon is a dragon trainer in disguise. He finds a dragon that has been lost from its group. He uses his skills to communicate with the dragon and tries to reunite it with its kind. Along the way, they face many challenges and obstacles together.
Another option could be Fanfiction.net. Sign up or log in if you have an account, and then search for the specific 'jon finds dragon' fanfic. However, the tagging system might not be as detailed as AO3, so you might need to sift through a few more results. But it's still a great place to start looking for fanfics.
She can try searching on popular fanfiction websites like Archive of Our Own (AO3) or FanFiction.net. These platforms usually have a wide range of fanfictions for various fandoms, so there's a good chance of finding Robb fanfic there.
In this fanfic scenario, Jon finding a dragon egg would be a game - changer. First, he'd have to figure out how to keep it safe. He might enlist the help of Samwell Tarly, who could research ancient texts about dragon eggs. As the egg nears hatching, strange things might start to happen around Jon. Animals might act differently, and there could be signs in the sky. Once the dragon hatches, Jon would have to train it. This would be a difficult task as dragons are powerful and unpredictable. His new dragon would give him an edge in battles, but it would also make him a target. Other characters would either try to kill him to get the dragon or try to persuade him to join their side. His actions with the dragon would shape the future of Westeros, and he'd have to make some tough decisions about how to use this new power for the good of the realm.
In the fanfic, Jon might use the dragon egg to gain power. He could try to hatch it and form an alliance with the dragon. This would change the power dynamics in Westeros completely. Maybe he'd face opposition from other powerful houses who fear his newfound strength.
Daenerys Targaryen could be one to help. Since she has experience with dragons, she could give Jon Snow advice on how to care for the egg and hatch it.
One possibility could be that in the fanfiction, Jon Snow discovers the Valyrian steel in an ancient castle's armory. Maybe it was hidden away for centuries, and his discovery sets off a chain of events that changes the course of his journey.
Yes, there are likely several fanfics out there with that premise. The idea of Ayra Stark being the one to take down the Night King was a popular theory among 'Game of Thrones' fans even before the show's final season. Fanfic writers often explore such alternate scenarios, giving more depth and different storylines to characters like Ayra in relation to major events like the defeat of the Night King.