Neonatal Graves. One to 5 percent of neonates born to women with graves' disease have hyperthyroidism due to transplacental transfer of TSH receptor-stimulating antibodies. The incidence is higher in women with high titers of these antibodies. If you have graves disease your obstetrician needs to follow you and the baby carefully for the best outcome.
Anyone. Although the condition most often occurs in women and in middle-age, it can occur in men, or in people of any age. In infants under the age of 6 months, any thyroid problems may be due to antibodies from the mother rather than their own antibodies, and so may improve without treatment as the maternal antibodies clear.
Small risk. It will only occur in 1-5% of babies born to mothers with graves' disease so the risk is low but not nill.