The United States has had some political dynasties over its existence, families with several members who have gotten into politics. Dynasties like the Adamses, the Rockefellers, the Roosevelts, the Kennedys, and most recently, the Bushes.
Here's who's who, from 
Bush family, and related pages:
Richard Bush (ca. 1676 - 1732)
Timothy Bush (1728 - 1821)
Timothy Bush, Jr. (1761 - 1850) and Lydia Newcomb
Obadiah Newcomb Bush (1797 - 1851) and Harriet Smith
James Smith Bush (1825 - 1889) and Harriet Fay
Samuel Prescott Bush (1863 - 1948) and Flora Sheldon (1872 - 1920)
Prescott Bush (1895 - 1972) and Dorothy Wear Walker Bush (1901 - 1992)
- Prescott son Prescott Bush, Jr. (1922 - 2010)
- Prescott son George Herbert Walker Bush (born 1924) and Barbara Pierce Bush (born 1925)
- - George I son George Walker Bush (born 1946) and Laura Welch Bush (born 1946)
- - - George II daughter Barbara Piece Bush (born 1981)
- - - George II daughter Jenna Welch Bush Hager (born 1981) and Henry Chase Hager (born 1981)
- - - - Jenna daughter Margaret Laura "Mila" Hager (born 2013)
- - George I daughter Pauline Robinson Bush (1949–1953)
- - George I son John Ellis "Jeb" Bush (born 1953) and Columba Bush (Garnica Gallo; born 1953)
- - - Jeb son George Prescott Bush (born 1976)
- - - Jeb daughter Noelle Bush (born 1977)
- - - Jeb son John Ellis "Jeb" Bush, Jr. (born 1983)
- - George I son Neil Bush (born 1955) and Sharon Smith, Maria Bush
- - - Neil daughter Lauren Pierce Bush-Lauren (born 1984) and David Lauren
- - - Neil daughter Ashley Bush
- - - Neil son Pierce M. Bush
- - George I son Marvin Bush (born 1956) and Margaret Molster Conway
- - - Marvin daughter Marshall
- - - Marvin son Walker
- - George I daughter Dorothy Bush Koch (born 1959), and Bobby Koch,
- - - Dorothy son Sam LeBlond (born 1984)
- - - Dorothy daughter Ellie LeBlond (born 1986)
- - - Dorothy son Robert Koch (born 1993)
- - - Dorothy daughter Gigi Koch (born 1996)
- Prescott daughter Nancy Walker Bush Ellis (born 1926) and Alexander B. Ellis II (1946 - 1989)
- - Nancy son John Prescott Ellis (born 1953)
- - Nancy son Alexander Ellis III (born 1949)
- - Nancy daughter Nancy Walker Ellis Black
- - Nancy son Josiah Wear Ellis
- Prescott son Jonathan Bush (born 1931) and Josephine Bradley Bush
- - Jonathan son Jonathan S. Bush (born 1969)
- - Jonathan son William Hall "Billy" Bush (born 1971) and Sydney Davis
- - - Billy daughter Josie
- - - Billy daughter Mary
- - - Billy son Bradley
- - - Billy daughter Lillie
- Prescott son William Henry Trotter "Bucky" Bush (born 1938)
So far, George Bushes I and II have been President, and Jeb Bush seems to want to run for President next year. Some more Bushes may enter politics in coming years, but it's hard to tell at this point.