From what I can tell, it is no longer outside the east entrance. Any ideas? Link to image: http://upload.wikimedia.org/wikipedia/commons/e/e6/Abraham_Lincoln_giving_his_second_Inaugural_Address_%284_March_1865%29.jpg
The statue looks like it depicts a woman wrestling with a tomahawk armed Indian.
As such, it may well be a statue of Hanna Duston.
In 1697, during King William's war, Abenaki Indians, allied with the French, raided Haverhill, Massachusetts, killing 27 colonists. They captured Hanna and her youngest infant daughter, and took them back towards Canada, killing the infant by smashing her head against a tree along the way.
Near Boscowan, New Hampshire, Hanna led her servant Mary Neff, and another captive, 14 year old Samuel Lennardson in an escape.
Hanna and her fellow captives killed 10 Indians with tomahawks they seized, and escaped back to Massachusetts by canoe, carrying the scalps of their captors with them.
The story of Hanna Duston was well known, as it was related by Cotton Mather, Nathaniel Hawthorne, John Greenleaf Whittier, and Henry Thoreau.
Of course, I'm not sure that this particular statue depicts Hanna Duston, but the subject matter of the statue makes it seem possible.