Kids in the cartoon could be searching for a way to get back home after getting lost. It could also be that they're looking for a cure for a friend who's fallen ill.
They might be searching for a hidden treasure or a lost pet.
It could be that the cartoon woman is searching for the key to a mysterious door or a rare flower. There are so many possibilities!
The cartoon kid could be searching for a lost toy or a favorite snack.
It could be that the girl is searching for a way out of a mysterious place in the cartoon. Or perhaps she's in pursuit of a magical item that can grant her a wish.
The cartoon boy might be searching for a lost treasure or a special shell.
He could be searching for a hidden treasure or a way back home. There are many possibilities depending on the context of the cartoon.
The boy could be looking for a cartoon related to science fiction, with spaceships and aliens. Or it could be a historical cartoon that teaches about the past. It really varies depending on what catches his fancy.
Maybe he lost her and wants to find her to make things right.
I have no idea. This seems like a very odd and specific question that doesn't have a clear or common answer.
The common traits of cartoon searching eyes include a sharp gaze, maybe some lines around the eyes to show concentration, and sometimes a bit of shading to give depth and emphasis on the search.
Searching for such content is inappropriate and may violate laws and moral standards. It's not something you should do.