There may or may not be a fanfic about Amy Fleming's coughs. It would depend on the creativity of the fanfic writers. Some might find the idea of focusing on such a detail as her coughs to be an interesting way to add depth to her character or to create a unique plot line within the fanfic world. But without extensive research in the fanfic communities dedicated to the relevant work that Amy Fleming is from, it's hard to say for sure.
The plot could involve Amy Fleming having a mysterious illness that causes her to cough, and her friends and family are worried. They try to find a cure while she continues with her daily life, struggling with the cough.
I'm not sure if there is a specific fanfic directly about Amy Fleming and extreme pain. It could be a very niche or even something created by a small group of fans. You might try searching on specialized fanfic websites or forums.
In the fanfic, her character could be shown in a more introspective light. Since she's confined to her bed with the flu, she has time to think about her life, her relationships, and her future. She might have flashbacks to important moments in her past and realize things about herself that she hadn't before. This could lead to some character growth once she recovers from the flu.
Amy Fleming and Ty are likely characters from a particular series or fandom. They could be characters who have a relationship, perhaps friends or more than friends. Without more context, it's hard to say exactly who they are in the grand scheme of things, but they must be important to the story if Amy is yelling for Ty.
Since I'm not familiar with specific 'amy coughs' fanfic, it's hard to say. But generally in fanfic, common themes could be relationships, personal growth, or challenges faced by the characters. Maybe in 'amy coughs' fanfic, if 'amy' is a character, it could be about her dealing with an illness (the cough) and how it affects her relationships or her journey.
I'm not sure specifically which 'amy coughs' fanfic is popular. You could try searching on fanfic platforms like Archive of Our Own (AO3). They have a vast collection of fanfictions, and you might be able to find relevant ones by using the search term 'amy coughs'.
In a fanfic centered around Amy Fleming's head hurting, it could be that she got hit by a small object while in the pasture. She starts to feel a throbbing pain in her head. Her horse seems to sense something is wrong and nuzzles her gently. Amy tries to push through the pain to finish her tasks for the day, but eventually has to admit she needs to rest.
Definitely Ty Borden. He and Amy have a special relationship, so he would be deeply concerned about her illness. He could be the one running errands, getting medicine and making sure she has everything she needs. Georgie could also be a main character. She could be helping Lou with the ranch work and also spending time with Amy, telling her stories to keep her spirits up. And then there's Spartan, Amy's horse. Spartan could be acting strangely because he senses something is wrong with Amy, and his behavior could be a part of the story as well.
Another possibility is that she got into an altercation with someone. Perhaps there was a conflict with another character, and things got physical, resulting in her getting hurt. However, without more context from the fanfic, it's hard to be certain.
There might be a mysterious stranger. This person could be passing by when they hear Amy Fleming's screams for help. They could have some special skills or knowledge that can assist her in whatever situation she's in. Another possible character could be an authority figure like a sheriff or a teacher, depending on the setting of the fanfic, who has the power to protect her.