Labor with second baby?

So I'm currently only 16 weeks pregnant with my second baby. With my first baby my water broke at 41 weeks and I went into labor on my own however I ended up having to have a c section because he was pretty big and he got stuck. Anyways my question is did anyone go into labor earlier with their second baby than with their first baby? Stories please 😊 I'm pretty early on but I'm so excited for January to come so I can have her. And I know they'll be scheduling me at 39 weeks for a c section if I don't go into labor before then.