Baltacha, who is still on the comeback trail after more than six months out injured, made a bright start to the match on her least favourite surface as she broke in the opening game.
A consolidating hold quickly followed before Erakovic exploded into life with 10 straight points to break back.
From there the match was a very one-sided affair with world number 200 Baltacha, who follows British number one Laura Robson in exiting the tournament, managing just one more game as Erakovic, ranked 108 places higher than her opponent at 92, raced through the rest of the match.
Erakovic broke the Baltacha serve again in the sixth game before also breaking in the first third and fifth games of the second set to ensure her progression to the second round.
Next up for the New Zealander will be Dominika Cibulkova, the Slovakian a straight sets, 6-1 6-4 winner over Lesia Tsurenko.
9-Samantha Stosur (Australia) beat Kimiko Date-Krumm (Japan) 6-0 6-2
13-Marion Bartoli (France) beat Olga Govortsova (Belarus) 7-6(8) 4-6 7-5
16-Dominika Cibulkova (Slovakia) beat Lesia Tsurenko (Ukraine) 6-1 6-4
18-Jelena Jankovic (Serbia) beat Daniela Hantuchova (Slovakia) 6-4 7-6(7)
27-Yaroslava Shvedova (Kazakhstan) beat Coco Vandeweghe (U.S.) 6-0 3-6 6-2
31-Alize Cornet (France) beat Maria Joao Koehler (Portugal) 7-5 6-2
Mariana Duque (Colombia) beat Kristyna Pliskova (Czech Republic) 6-2 6-0
Kristina Mladenovic (France) beat Lauren Davis (U.S.) 6-0 7-5
Silvia Soler Espinosa (Spain) beat Irina Begu (Romania) 6-3 6-2
Marina Erakovic (New Zealand) beat Elena Baltacha (Britain) 6-3 6-0
- Sports & Recreation