Confusedfarmer, the "white stringlike things" are the chalazae:
"The chalazae are two cord-like structures which keep the yolk centered in the egg.... The chalazae also function as an axis around which the yolk can rotate and keep the germinal disc uppermost at all times."
http://www.msstate.edu/dept/poultry/avianemb.htm#form
"The chalazae are two cord-like structures which keep the yolk centered in the egg.... The chalazae also function as an axis around which the yolk can rotate and keep the germinal disc uppermost at all times."
http://www.msstate.edu/dept/poultry/avianemb.htm#form