“SOA” refers to the television series “Sons of Anarchy,” which aired on FX from 2008 to 2014. It is unclear which homeless girl is being referred to in this question, as there were several homeless characters who appeared on the show over the course of its seven-season run. However, one character who fits this description and had a notable storyline is “Homeless Woman,” played by Olivia Burnette.
Homeless Woman is first introduced in Season 1, Episode 6, “AK-51,” when she is seen digging through a dumpster in Charming, California. She is later shown to be living in an abandoned lot with several other homeless people. While Homeless Woman does not speak for much of her time on the show, she becomes an important character in Season 3, when she is revealed to have a connection to Gemma Teller Morrow (played by Katey Sagal), the wife of main character Jax Teller (played by Charlie Hunnam).
In Season 3, Episode 7, “Widening Gyre,” it is revealed that Homeless Woman is actually Gemma’s mother, Rose. Gemma had believed that Rose was dead, but learns that she has been living on the streets for many years. Rose suffers from dementia and is unable to communicate effectively, but Gemma is able to recognize her and takes her in. This storyline provides insight into Gemma’s backstory and the troubled relationship she had with her mother.
Throughout the rest of the series, Homeless Woman/Rose continues to make appearances, although her role becomes smaller as the show focuses more on the main plotlines involving the Sons of Anarchy Motorcycle Club. She is last seen in Season 6, Episode 6, “Salvage,” when she is briefly shown watching Jax and Tara (played by Maggie Siff) from a distance.
In conclusion, the homeless girl in “SOA” refers to the character known as Homeless Woman, played by Olivia Burnette. She is introduced in Season 1 as a minor character, but becomes an important figure in Season 3 when she is revealed to be Gemma’s long-lost mother. Her storyline provides insight into Gemma’s backstory and the troubled relationship she had with her mother.