They are usually found in front of the ureters, which are the tubes that take the urine from the kidneys to the bladder. Ovaries have a left and right side and are connected to the outer layer of the uterus via ligaments called ovarian ligaments.or example, if the left ovary releases the egg in May then the right ovary will release the egg in June. Sometimes one side of the ovaries is absent or non-functioning and if this occurs the other side usually takes over the responsibility for releasing the eggs. Related Article.