I've never seen this before. I don't think we counted Sturridge's goals at Chelsea. Only his goals for LFC.
Admittedly, the Woods one is an overall goalscoring chart, not club specific. The same applies to Demba Ba of Chelsea as well. 13 goals for Newcastle, 2 for Chelsea, 15 overall.
Rhondda Rovers (The Rebirth) - Season 5, Level 3
Career Progress:
League Titles - 3 Cup Winners - 1 Champions League Winners - 1