Lead poisoning can cause many health problems. That is why when buying or selling your house, it is wise to have it checked for lead.  I heard a couple times recently about lead in lipsticks. WT_? So I did a little searching. It seems the information is true.
According to the Mayo Clinic site, Lead poisoning can lead to:

Lead poisoning symptoms in adults
• High blood pressure
• Joint and muscle pain
• Difficulties with memory or concentration
• Headache
• Abdominal pain
• Mood disorders
• Reduced sperm count and abnormal sperm
• Miscarriage, stillbirth or premature birth in pregnant women

You can read more about lead in lipsticks here from Campaign for Safe Cosmetics:

Lead In Lipstick

Lead has also been found in some progressive hair dyes that darken your hair over time.

Apparently there are some lipsticks that do not have lead. You can read about those here:
https://www.goodhousekeeping.com/beauty/makeup/tips/g1886/lead-free-lipsticks-470402/