See, and I got cramps (contractions) noticeably like every couple of days starting around five months with my first, and spent that whole time worrying she would be premature, LOL! (And THEN she went really really late!).
On the 'never went into labor'/Csection thing,
1) stress literally prevents labor (adrenaline and the labor hormone can't coexist, more or less) ... so the more pressure that is on a woman/the less she trusts the situation she is in, the more impossible it is to even go into labor. And the more likely it is to "stall." And the more likely an induction (which I am growly about as an entire concept) won't "work." And stress can certainly be from family situation, not just medical procedures and attitudes: with my last child I went into labor "on time" but then family I didn't want showed up and it stopped. For three weeks(!). And then it came back (when I had a rare day completely to myself) and was done very efficiently ... I think five hours later.
2) a study in the 90s in Australia (where they still had enough non-induced moms to be able to study them) showed that gestations left to go to term, for first time moms, AVERAGED 11 days "over" due. Many hospitals in America won't "let" moms go past a week before inducing (so they can't be sued for a postterm baby, which is actually medically rare--postterm means not, "after the due date," but actually, "the placenta is done and has started to calcify"--which does happen and does cause the baby medical problems and sometimes death, but it is not something you measure by how long the baby is taking to be ready to be born, it is something you measure BY DISTRESS ... heartrate issues, lack of movement, etc.). Some midwives I have talked to suspect that the beginning of calcification and labor might be related as processes--certainly it would make some sense, body-efficiency-wise.
3) I (thank goodness) got an interesting piece of Old Wives Wisdom when I was pregnant with my first, which I have only heard from one woman but she had heard it from several in the generation beofre her--that gestation is 9x your 'monthly' cycle, and should not be judged by the average 40 weeks. (My cycle was very long and that baby and I gestated very late. My later cycles--and pregnancies--were more 'normal.')
Anyhow, I just don't personally (and I Am Not A Doctor, etc etc disclaimer) believe in the whole "she wouldn't go into labor" thing ... I think probably those cases can nearly universally be traced either to not waiting for the natural proper length of gestation or to the lack of proper care for the mother (or of course in many cases, the mother not choosing to be in trust situations ... certainly this slowed down my first birth, which went 38 hours with four hours of pushing, and let me tell you now that I see it was from not having trust in my caregivers, well ... I definitely would choose more trustworthy people or choose to properly trust the people I was with (and myself(!)), because 38 hours is not something I'd wish on anyone!!)
I believe, if it is worth anything to you ;), that you will go into labor just fine if you and the people around you will trust the process :).
May God bless you and yours. Namaste.