Premier League - Watch all the Premier League goals
Miss any of this weekend's 24 goals in the Premier League? Watch them all here.
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The Villa captain put through his own net in the third minute of stoppage time, as an attempted Stephen Warnock clearance ricocheted in off the luckless Irishman.
Dunne is the Premier League's record own-goal scorer, and increased his tally to nine with this latest misfortune.
The £50 million striker had another "hero to zero" afternoon following his exploits at Old Trafford last week.
Last Sunday he scored a stunning first goal of the season against United, but then missed an open goal which would have put Chelsea back into the game.
On Saturday he scored another well taken goal after 29 minutes when he chested down a Juan Mata ball and fired home, but then 10 minutes later he was shown an immediate red card by referee Mike Dean for flying in on Mark Gower with both feet raised, although there was minimal contact.
By then Chelsea were 2-0 ahead following Ramires's first goal after 36 minutes before he added a third in the second half.
Ashley Williams pulled one back for Swansea before Drogba, returning after suffering concussion against Norwich City on August 27, scored Chelsea's fourth.
Manchester City maintained their unbeaten record with a hard-fought 2-0 win against Everton at the Etihad Stadium.
Milner scored his first goal of the season after 88 minutes when he raced on to a stunning through ball from David Silva and poked the ball home.
Newcastle United also stayed unbeaten and stayed fourth with Senegal international Demba Ba scoring a hat-trick in their 3-1 home win over Blackburn Rovers who finished with 10 men after Martin Olsson was sent off.
Tottenham Hotspur continued their revival with their third straight League victory, winning 2-1 at Wigan Athletic to climb to sixth with first half goals from Rafael van der Vaart and Gareth Bale. Wigan finished with 10 following the second half red card for Steven Gohouri.
Arsenal, struggling at the wrong end of the table after their worst start for 58 years, moved up five places to 12th with a 3-0 win over Bolton Wanderers. Robin van Persie scored his 99th and 100th goals for Arsenal and Alex Song grabbed a late third to leave Bolton bottom.
Bolton have now lost five successive league matches following their 4-0 opening day win at Queens Park Rangers and their miserable afternoon was compounded with a sending off for David Wheater.
In the other afternoon match, West Bromwich Albion drew 0-0 at home with Fulham.