We knew DD13 was gifted since she was a baby. She was born alert and just had very intelligent eyes. We knew for sure when she started talking. She would give us directions in the car, count backwards from 20 etc. Her pediatrician also told us. She was tested at age 9 after we moved to FL (where we lived in NY state there was no gifted program). It turns out she's highly gifted in verbal and she's a talented dancer.
Now DS7 is a different story. We had no clue that he was especially smart. His K teacher told us and we didn't really believe it at first! His first grade teacher noticed after a month of school. So we asked the school to test him and after some "discussion" they did it. He is all around HG+. I started my research on gifted last year when he was having problems in school. We had never had those probs with daughter so it took some investigating to figure out that it was related to his giftedness.
DS5 hasn't been tested yet. But we're sure that he is gifted. I will ask that he be tested this year or next. So far he's happy and learning.