Complex sentence: Her son, Jeremy Hanley, became an accountant and Conservative Party politician, and her daughter, Jenny Hanley, became an actress and a co-presenter of the British television series "Magpie".
Split into simpler sentences: Her son, Jeremy Hanley, became an accountant and Conservative Party politician. Her daughter, Jenny Hanley, became an actress and a co-presenter of the British television series "Magpie".