OP, glad your mom was OK and you too, but there are very real risks. It's not like the docs induce at 42 weeks just for the heck of it.
"When pregnancy exceeds 42 weeks gestation, the perinatal mortality rate (stillbirths plus early neonatal deaths) increases to 4 to 7 per 1,000, which is double the rate seen for deliveries at 40 weeks gestation. As more time passes, more calcium is deposited within the placenta (calcification), which can markedly affect its function. This may be one explanation for the increased mortality rates that are seen in post-term pregnancies.
On average, post-term infants are larger than term infants. Approximately 2.5 to 10% of fetuses delivered after 42 weeks gestation exceed 4500 grams as compared to 0.8 to 1% of infants delivered at 40 weeks. These larger infants are at more risk for mechanical problems of labor such as prolonged labor, cephalopelvic disproportion requiring c-section, and shoulder dystocia.
Post-date pregnancies are associated with an increased risk for umbilical cord compression, fetal distress, meconium aspiration, as well as newborn complications, such as hypoglycemia and seizures. Because of the associated morbidity and mortality, The American College of Obstetricians and Gynecologists (ACOG) currently recommends induction of labor for post-term, low risk pregnancies sometime during the 43rd week of gestation."