"To say these [questions] are onerous, we are talking about human life, and to ask some questions and add two pages of forms to the already multiple pages you are filling out for the medical profession, for an innocent child, that's not much to ask," Lamb told ABCNews.com.
But Davis, and co-plaintiff Wanda Jo Stapleton, a former Democratic state representative from Oklahoma City, argue that the law is not only ineffective but is also "an unlawful expenditure of public funds."
The Web site, they say, will cost taxpayers $281,285 the first year and $256,285 every subsequent year.
Davis said money spent on women in "personal crisis" could be better spent addressing Oklahoma's high teen pregnancy rate -- which is the sixth highest in the nation, according to a 2009 report from the Centers for Disease Control and Prevention.
"I always cared about civil rights, and it seems in Oklahoma, politicians keep trying to do something on the abortion issue to make them look like they are pro-life," said Davis. a 66-year-old great-grandmother from Shawnee.
"It's disingenuous to keep passing laws that make it harder and harder for people seeking abortion for personal reasons and to keep lowering funding for support of teens who are pregnant."
"People are more likely to choose abortion if there is not hope for taking care of the child," she told ABCNews.com.
Oklahoma allows abortions to be performed up to 22 weeks. There are only three doctors in the state who are known to perform abortions, and many have become "vilified in the public eye," according to Jennifer Mondino, staff attorney for the U.S. legal program for the Center for Reproductive Rights.
"I think the intent is to further stigmatize doctors who provide abortions and make it more difficult for women to access reproductive health services," said Mondino.
"In talking to abortion providers, they have been telling us that they are seeing a serious upswing in harassment and protest activity since the beginning of the year," she told ABCNews.com.
In 2007, more than 6,300 abortions were performed in Oklahoma, down slightly from the previous year and reflecting a trend nationwide, according to Planned Parenthood, an organization that supports abortion rights.
"Oklahoma women should be terrified of this onerous law," said Keri Parks, director of external affairs for Planned Parenthood of Central Oklahoma. "It basically turns an already difficult and personal decision into a situation which may put a woman's private and protected health information at risk of inadvertent disclosure.
"Our reproductive rights are challenged yearly in the Oklahoma legislature, and our state seems to have become a testing ground for oppressive restrictions on abortion access," she told ABCNews.com.
The number of abortion restrictions is increasing nationwide, according to Planned Parenthood. During the 2009 state legislative session alone, 23 bills were introduced in Texas and 18 were introduced in Mississippi.
But supporters say the law is not about restricting access to abortion but helping the state gather important information.
"I don't think [the bill] has anything to do with restrictions or roadblocks," said David Dunn, director of research for the Oklahoma Family Policy Council, which opposes abortion.
"The government knows what the situation is and isn't operating in the dark," said Dunn, who dismissed complaints that the new Web site might reveal confidential information.