Sara Errani  will play the WTA Premier event in New Haven, along with other seeded players Aga Radwanska , Petra Kvitova , Caro Wozniacki , Marion Bartoli, Domi Cibulkova, Lucie Safarova, Maria Kirilenko, and Andrea Petkovic. Francesca Schiavone (unseeded) will be there too. Sara will only play the Singles.
BTW, the Williams are not present in New Haven. ;)
Roberta Vinci  will play the WTA International event in Dallas. Other seeded players are: Angelique Kerber , and Jelena Jankovic , Yanina Wickmeyer, Sorana Cirstea, Shuai Peng, Chanelle Scheepers. Klara Zakopalova, Arantxa Rus, Iveta Benesova and Alizée Cornet are there too (unseeded). Roberta will only play the Singles in Dallas.