You want weird my younger brother is 42 this year. He was a late life baby. My eldest nephew was on the top floor of the hospital being born when my mum was told she was pregnant. She could hear the doctor telling the technician that he was worried she was going to fall off her chair with shock. Dad wouldn't believe her until they did the ultrasound. They called him Adam as he was the start of a new generation so to speak. I was 19 years old at the time.
I wasn't quite a "late life" baby, but I was totally unexpected. My brother was a very sickly child who was born with puss in his blood, and needed immediate complete transfusions. My mom didn't want to have another child right away, because that would've taken her attention away from my brother, who really needed it as an infant and small child.
As it turned out my mother had some kind of painful attack shortly after he was born, and they didn't know what was causing it at the time, because the stoic woman she was refused to go to the doctor. Then when my brother was about 10, doing fine, in school and all, she had another attack worse than the first one, and my father told her she was going to the doctor even if he had to throw her over his shoulder and carry her there.
Turned out, my mother had a non-cancerous tumor the size and color of an eggplant on one of her ovaries, and when she told me all about this years ago, we realized that my brother was probably conceived in that ovary, and was why he was born with the puss in his blood, and why she couldn't conceive when she decided it was time to have another child. About 1 1/2 years after the ovary with the tumor was removed, her doctor gave her the good news, that she was pregnant again. She was, IIRC, about 35/36 when she had me, which now-a-days is not too old to have children, but back then it was unusual, except for the fact she already had a child, so I wasn't her first.