Again, without more details, it's hard to say who Becky is. She could be the author of the fanfic, in which case she might be writing from her own perspective or inserting herself into the story in some way.
I don't think Franklin Murray is part of DC Comics. DC has a vast array of characters, but this name doesn't ring a bell among the popular or established ones.
One inspiring story about Becky could be that she overcame a difficult illness. She had to be strong and positive throughout the treatment process, and her determination inspired those around her to face their own challenges bravely.
There could be a bully character. Bullies often play a role in stories about new kids. Another possible character could be a friendly teacher who helps Murray Heyert adjust. Also, there might be a popular kid who at first ignores Murray but later becomes his friend.
Liz Murray overcame homelessness by first realizing that education was her ticket out. She worked hard in school, studied whenever she could, and took advantage of every educational opportunity that came her way. Also, she had a strong inner drive that kept her going even when things were tough. She didn't give in to despair like many in her situation might have, but instead focused on the future she wanted to create for herself.
Another characteristic is the use of vivid settings. Murray might describe a bustling cityscape or a serene countryside as the backdrop for the love story. These settings not only add to the atmosphere but also play a role in the development of the relationship. For example, a couple might fall in love while exploring a beautiful beach town in one of the novels.
I'm not sure there is a character named Eddie Murray in 'Pulp Fiction'. It might be a misnomer or perhaps there is some very specific context related to it that I'm not aware of.
One of the highly regarded Murray Leinster novels is 'First Contact'. It's a great exploration of the idea of first interactions between humans and alien species. The story is full of suspense as it shows the cautious dance of diplomacy and power dynamics in this unprecedented encounter.