The name is the characters
A Chinese given name is its characters — usually one or two, chosen by parents for their meaning, beauty or aspiration. This makes Chinese names very different from Western ones: there is no fixed list of “names,” because families compose them from the vast stock of characters, often creating something close to unique.
Why romanization can’t fix the meaning
When a Chinese name is written in the Latin alphabet (pinyin), the tones are dropped and many different characters share the same spelling. “Mei” could be 美 (“beautiful”), 梅 (“plum blossom”) or others entirely. So a romanized Chinese name alone does not tell you the meaning — the character does. The meanings here give the most common character for each sound; other characters carry other senses.
Name order
The family name comes first — Wang, Li, Zhang — and the given name second, the reverse of the Western order.
Where the meanings come from
Characters are chosen for virtue (勇 “brave,” 慧 “wisdom”), beauty (美, 丽), nature (花 “flower,” 月 “moon,” 龙 “dragon”) and good fortune. Gender is flexible and follows the characters rather than the sound.