Kammala jumla mai zuwa: Shekaru da yawa, Baginskaite ya taka leda a kan jirgin farko na Lithuania a gasar Olympics ta mata a Chess a
1994 da kuma 1996. Daga nan sai ta canza zuwa wakiltar ƙungiyar Amurka a kan kwamiti na farko a shekara ta 2000 kuma a shekara ta 2002, ta yi wasa a kan kwamiti na biyu. A shekara ta 2006, tana cikin kwamitin ajiya.