From Bulbapedia, the community-driven Pokémon encyclopedia.

Madame Boss 女ボス Onna Boss
On'na Boss
Gender	Female
Hometown	Unknown
Region	Kanto
Relatives	Giovanni (son) Silver (grandson?)
Team	Team Rocket
Rank	Boss
First episode	The Birth of Mewtwo
English voice actor	{{{enva}}}
Japanese voice actor	Hiromi Tsuru

Madame Boss (Japanese: 女ボス Onna Boss), is the former leader of Team Rocket and the mother of the current leader, Giovanni.

Personality

She is certainly not as smart as her son, Giovanni. This can be based upon numerous facts, including hearing a recording proving the existence of Mew, a creature that could bring Team Rocket immense fortunes. She responds with the quip "Can we make a CD out of it?" Her primary focus seems to be on making money. However, she is an effective enough Boss of the Rockets and does not show true ineptitude at her job.

Relationships with other members

As Rocket Boss, she commands an army. She gives direction to Miyamoto personally, and speaks of her 'brat boy' Giovanni. Going strictly by the timeline presented by the CD drama, he would have had to be at least in his 20's at the time she said that, which proves her relationship with him to be at best extremely hostile.

Members of Team Rocket
Bosses: Giovanni | Madame Boss | Mask of Ice
Admins | Scientists | Grunts Domino | Vicious | Tyson | Wendy | Viper | Mondo Miyamoto | Rocket Scout | Grey | Koga* | Lt. Surge* | Sabrina*
Under Mask of Ice: Keane | Charmaine | Will* | Karen*
Rocket duos: Jessie & James (& Meowth) | Butch & Cassidy | Attila & Hun
Rocket trios: Ken, Al & Harry (TRET) | Carr, Sird, & Orm (T3B)