The actress Deborah Kerr lived at Botesdale until she died in 2007
John Peel the well known DJ/Broadcaster lived in Great Finborough and is now buried in the church yard http://en.wikipedia.org/wiki/Great_Finborough
Perhaps more infamous, but William Dowsing was born at Laxfield see here http://en.wikipedia.org/wiki/Laxfield
Sir Alfred Munnings the painting of horses was born in Mendham http://en.wikipedia.org/wiki/Alfred_Munnings