NEW : He indicated that 12 people were interested in the position . Sen. Schumer says Kennedy is `` clearly interested , '' one of 12 candidates . Kennedy 's interest in the seat could mean the continuation of a family legacy . The elder Kennedy's son Robert was elected to Congress from Massachusetts and served for two terms before dying at age 46 after suffering brain cancer. David Paterson can appoint replacement who will face special election in 2010 . Kennedy is the daughter of former President John F. Kennedy .
NEW : Sen. Schumer says Kennedy is `` clearly interested , '' one of 12 candidates . Kennedy 's interest in the seat could mean the continuation of a family legacy . The elder Kennedy's son Robert was elected to Congress from Massachusetts and served for two terms before dying at age 46 after suffering brain cancer. David Paterson can appoint replacement who will face special election in 2010 . Kennedy is the daughter of former President John F. Kennedy .