In the fictional Star Wars universe, the Solo family was once a prestigious, Corellian royal family. The first known Solo in the family tree is Berethon e Solo, a king who ruled Corellia during the Golden Age of the Old Republic and set up constitutional monarchy in 312 BBY. His descendants continued to rule Corellia until the establishment of the Diktat centuries later. By 29 BBY their declining status had considerably drove them out of rule and into poverty. Han Solo, unfortunately for him, was born during that time.
During the post-Imperial era, however, the Solo family regained its prestige—starting with the marriage of Han Solo and Leia Organa around 8 ABY. Not only did the connection to the Skywalker family give his line a boost, but the heroic and legendary actions and accomplishments of his family (as well his Skywalker relatives), including his children—made the Solo-Skywalker family, overall, one of the most famous and powerful ones in history.
Leia and Han had kids named Jacen, Jaina, and Anakin. Jacen turned to the dark side and became Darth Caedus. Before that, he and Tenal Ka, Hapan Queen Mother and fellow Jedi Knight, had a daughter, whom they named Allana.