There is no goddess Eostre that we can confirm from primary sources.
Eostre.
Ostara (or Eostre) was the goddess of spring.
The Anglo-Saxon goddess Eostre, goddess of spring and fertility
Easter is named from Eostre, an Anglo-Saxon goddess of spring.
The Anglo Saxon goddess after which Easter is named was Eostre.
Ostara, the festival held in honour of the Greek Goddess Eostre, was originally documented by Bede, in his 8th century work De temporum ratione.The following links have more information about Bede, and Eostre.
Germanic peoples.
The Romans gave this month the name Aprillis. The Anglo Saxons called the month Eastre which is the root word for Easter. Eostre was a Germanic Goddess also connected with Easter
Easter eggs (and bunnies) represent fertility. Easter is named after Eostre, the Saxon goddess of spring, when fertility and new life were celebrated.
Ostara is actually the celebration, the Goddess being Eostre. The most common symbolic associations are the egg, the hare, the lamb, and the crescent moon. You can also use anything you view as connected to fertility, the maiden/ young goddess, and spring.
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Ostern = Easter. The modern English term comes from the Old English word Eastre, which was in use prior to 899. The Eostur-monath, a month of the Germanic calendar, may have been named for the pagan goddess Eostre in Anglo-Saxon paganism, but documentation of this goddess is almost non-existant.