Hyram "Hymie" Jackson was a minor character on Shameless (US).
Hymie was conceived by his parents Karen Jackson and Timmy Wong sometime after Season 1 or at the beginning of Season 2; around the same time his maternal grandfather committed suicide. It's assumed that Lip Gallagher is the father given his frequent sexual relationship with Karen at the time; although Karen later said that she knew Timmy had an equal chance of Hymie's dad. Karen initially wanted to keep Hymie, even marrying her boyfriend Jody early on in her pregnancy, but she quickly grew tired at the thought of motherhood and decided to give him up for adoption. She found a wealthy couple (Jeff and Alana) who offered to pay her a large sum of money for Hymie as he was believed to be a healthy caucasian boy. While Lip was uncomfortable with Karen essentially selling the child to strangers, he saw that the couple could give his (presumed) son a better life and agreed to the adoption. He also recorded a video that way the baby could know who he was and how much he loves him.
In Just Like the Pilgrims Intended, Hymie makes his first on-screen appearance when Karen goes into labor early and gives birth to him with Lip and his family present in the delivery room. Not only is Hymie quickly discovered to not be Lip's, he's also revealed to have Down Syndrome. He's later kidnapped by his maternal grandmother Sheila from the nursery with the help of Jody as the adoptive parents left and Karen didn't want to keep him.
In Fiona Interrupted, Hymie is shown at Shelia's house with her and Jody. He's given his name, Hiram, after Shelia's late father. Karen returns from the hospital wanting them to surrender the baby, even calling the police to try to force them, but Sheila is adamant that she'll keep him. Hymie is last seen being rocked by his grandmother as Karen leaves.
Raising a newborn has taken a toll on Sheila. She accidentally leaves Hymie on the top of a trash can outside. Realizing what she's done, she frantically runs outside and retrieves him. Leaving her to wonder if she can take care of a newborn.
In A Long Way From Home, Timmy appears with his mother Mrs. Wong on Sheila's doorstep wanting to take Hymie to live with them. While Sheila and Jody are initially against this, Sheila later agrees she wants Hymie to have a relationship with both sides of his family.
Hymie does not physically appear, but is mentioned throughout in When There's a Will. After Karen returns home at the end of the previous episode, she claims she now wants to be apart of her son's life. This is later revealed to be a lie as Mrs. Wong tells Sheila that Karen contacted them and asked them to take Hymie from her mother.
Hymie is last seen in Survival of the Fittest. He's lying in a carseat in Jody's van as Sheila has a tearful goodbye to him, Jody, and Karen before they depart leave for Sedona.