Standard transliteration:
查理 Chálǐ (Charlie) +
威尔逊 Wēi'ěrxùn (Wilson). The film Charlie Wilson's War (2007, dir. Mike Nichols, starring Tom Hanks and Julia Roberts) made this name widely recognized in Chinese — its Chinese title 《
查理·
威尔逊的战争》 is exactly this transliteration plus
的战争.
威尔逊 is also the standard Wilson rendering for Woodrow Wilson, Owen Wilson, etc.