Why don't they have to reveal any information about the father?
From the http://www.huffingtonpost.com/2009/10/08/oklahoma-abortion-law-det_n_313779.html:
A new Oklahoma law requires physicians to disclose detailed information on women's abortions to the State's Department Of Health, which will then post the collected data on a public website. The controversial measure comes into effect on November 1 and will cost $281,285 to implement, $256,285 each subsequent year to maintain.
Oklahoma women undergoing abortion procedures will be legally forced to reveal:
1) Date of abortion
2) County in which abortion is performed
3) Age of mother
4) Marital status of mother
5) Race of mother
6) Years of education of mother
7) State or foreign country of residence of mother
8) Total number of previous pregnancies of the mother