Rubuta ci gaba ga wannan sakin layi - Anson ya jagoranci rundunar da ta ci Marquis de la Jonquière a yakin farko na Cape Finisterre
a watan Mayu na 1747 a lokacin Yaƙin Nasara na Austriya. Sojojinsa sun kama dukkan rundunar sojojin Faransa: jiragen ruwa guda hudu, jiragen ruwa biyu, da 'yan kasuwa shida. An daukaka shi zuwa peerage a matsayin Baron na Soberton, a cikin County na Southampton a ranar 11 ga Yuni, 1747. A shekara ta 1748, an wallafa littafin tarihin Anson na kewaye da duniya "Tafiya a Duniya a cikin Shekaru MDCCXL, I, II, III, IV", wanda Benjamin Robins ya shirya daga bayanansa da kuma jaridun Richard Walter. Ya kasance babban mashahuri da nasara ta kasuwanci. An daukaka shi zuwa Admiral na blue a ranar 12 ga Mayu 1748 kuma ya zama Mataimakin Admiral na Birtaniya a ranar 4 ga Yuli 1749. An ci gaba da shi a matsayin Babban Mai Rundunar Sojan Ruwa a kan Admiralty Board a watan Nuwamba 1749.