Romaji gives only the pronunciation, and the meaning is provided by the kanji in Japanese language. There are quite so many synonyms in Japanese, so no one can tell the correct meaning of the name just from the romaji. For instance, Akiko indeed can mean "Bright Child" as in the site you linked, but the kanji must be 明子 for this meaning. Other alternatives of Akiko such like 彰子, 昭子, 晶子, 章子, 顕子, 秋子, 亜樹子,,, have different meanings. Also, there are many un-Japanese-like names in the site even in the first few pages.