Shelbourne stretched their lead at the top of the Eircom Premier League with a two nil win over the students of UCD in Belfield this evening.
Second half goals from Wes Hoolahan and Baker secured the points for the visitors.
Defending champions Bohemians were not so clinical and could only manage a draw against Derry City in Dalymount Park.
Padraig Moran gave Derry the lead after just 25 minutes before Stephen Caffrey restored parity immediately after the break.
St Patrick's Athletic moved alongside the Gypsies with their second win of the season beating Drogheda United by three goals to one.
A Tony Bird brace and a 58th minute goal from Keith Fahey were enough for the homeside despite having fallen behind to a 19th minute Mark Quinnless strike.
Second place Cork City were held to a draw at home by Waterford. John O'Flynn's 66th minute penalty cancelled out Alan Reilly's opener.