We didn't have a clue that our oldest was gifted until she was about 5, and it wasn't until she was 7 that DH finally accepted her LOG (PG). We were living overseas and interacting with international businessmen and women and their families, as well as diplomats, so mostly well educated folks, so we didn't see the difference between her and the majority of the population until we moved back to the US when she 4, and then it took us a while to really see it.
The complete conversations at age 1 and her fluent Japanese a year after leaving the country should have been a clue, but.... blush

Our younger one - well we're more aware of it because it is like deja vu! We are having conversations with her that are almost identical to ones we had with the older one years ago. Her personality is very different, but her response tot hings and her pattern of development are so much like her sister's it is impossible to ignore/deny her giftedness, although we will wait a couple more years before we have her tested.