Till I was 8, I thought that I was a girl and that I was the victim of a parental conspiracy to cut my hair and make me wear boys' clothes. With hindsight, though, it is probably understandable if my parents were thinking "weird" rather than "transgender" when they often caught me prancing around naked except for my mother's headscarf (which I wore on my head, not where I probably should have worn it). I did sometimes wear a towel like a dress until I was big enough to try on my mother's. When my mother explained a bit more about the facts of life, I did mostly accept my fate, but there were signs that I was still transgender.
I liked to wear my mother's clothes and eau de cologne. I can't say that I was desperate for Barbie or Sindy dolls but I pined for those beautiful porcelain dolls. I also tended to hang out with girls until an incident in which boys started jeering me for it, and the girls that I thought were my friends joined in. It happened day after day until I hid during every school break, and at my next primary school I wouldn't even sit next to a girl in case the jeering started again. After that, I stopped thinking that girls were any nicer than boys, but I still wanted to be a girl, and that was probably a major sign that I was transgender.
Another sign, which I now gather is typical of trangender children , is that I wanted to be a mermaid. It started when I saw the movie Miranda with Glynis Johns. I'll bet that there are quite a lot of trans women members who wanted to be mermaids.