Generally, the answer is no. If an applicant tells you he has a child living at home, that doesn’t mean you should start asking about childcare. You don’t want to discuss issues that a court could use as evidence you discriminate in your hiring.
Source: You and the Law, National Institute of Business Management, 1750 Old Meadow Rd, Suite 302, McLean, VA 22102, November 1998. 800/543-2055. Cost: $187/year.