Bear has numerous meanings, one of which has to do with procreation: carrying and giving birth to something or someone. In this sense, the past participle borne is the correct form for all active constructions and for passive constructions followed by by: "Ten children have been borne by Mrs. James." "Mrs. James has borne ten children." Born, also a past participle, is the correct form for all other passive constructions dealing with birth: "One of Mrs. James's children was born in Singapore."
Dictionary of problem words and expressions. Harry Shaw. 1975.