In the books
In the A Song of Ice and Fire novels, the Lannisters of Lannisport have the same blond hair as the main branch, however theirs is straight, unlike the curly hair of the main family. The only Lannisters of Lannisport mentioned in the books are Rosamund, a handmaiden to Princess Myrcella Baratheon, and Maester Theomore, a maester in service at White Harbor.
In a role-playing game based on the A Song of Ice and Fire fantasy series by George R. R. Martin there is Falyse Dulver - the third daughter of a distant cousin to Lord Tywin, though far removed from Lannister's of the Rock.
Houses from the Westerlands