The 3 - year - old might be very frightened. They could start crying for their parents. Maybe they would try to hide under bushes thinking it's a safe place.
Search and rescue teams should be called in. They often use trained dogs that can pick up the child's scent. Helicopters can also be used to scan a large area of the woods quickly. Volunteers can spread out and call the child's name to see if there is a response.
The child might be very frightened. Maybe the rescuers were called and they used search dogs to find the little one.
The rescue probably involved a lot of people. Maybe some hikers found the child first and then informed the proper authorities. Or it could be that the search dogs led the rescuers to the child.
The 3-year-old was eventually found safe and sound after an extensive search by rescue teams.
She might find a small, hidden cabin. Maybe it's an old hunter's cabin with some basic supplies like a warm blanket and some canned food. This could give her shelter and a chance to survive until she's found.
A wife in a cabin in the woods could have a very relaxing time. She could spend her evenings stargazing. During the day, she might explore the woods and find an old tree with a hollow big enough for her to sit in. She could use the resources around her to make handicrafts, like weaving baskets from twigs she finds on the forest floor. This would be a great way for her to unwind and connect with nature on a deeper level.
In a 'girl lost in woods story', she could have been separated from her group during a camping trip. She would have to rely on her survival skills, if she has any. She may try to find food like berries or nuts. At the same time, she has to be careful of dangerous animals. She might start a fire using sticks and dry leaves to keep warm and signal for help. As she wanders, she might discover a hidden path or a landmark that gives her hope of finding her way out.
One possibility is that the 13 - year - old was being harassed by strangers on the street. The cab driver saw this and immediately stopped his cab. He opened the door for the child to get in and then drove away from the harasser. He might have then asked the child where they wanted to go or called the police to ensure the child's safety.
They might go on an adventure. Maybe they'll discover a hidden treasure or face a new enemy together.
In the fanfiction, when Artemis finds Percy in the woods, she might first be on guard as she is a cautious goddess. She could see Percy as a potential threat or an interesting anomaly. Maybe she decides to test him in some way, like challenging his combat skills or his wits.