Right Start Act of 2001

Amends the Internal Revenue Code to: (1) revise the formula to increase the dependent care income tax credit for certain taxpayers, indexed for inflation, with an even greater credit for employment-related dependent care expenses; (2) allow a minimum dependent care income tax credit for stay-at-home parents; (3) provide for advance payment by the employer of an employee's dependent care income tax credit; and (4) allow a business-related tax credit for employer-provided child care expenditures.

Family Income to Respond to Significant Transitions Insurance Act - Directs the Secretary of Labor to make grants to a State or local government to pay for the Federal share of the cost of carrying out projects that assist families by providing wage replacement for eligible individuals responding to caregiving needs resulting from the birth or adoption of a son or daughter or other family caregiving needs.

Family and Medical Leave Fairness Act of 2001 - Amends the Family and Medical Leave Act of 1993 (FMLA) to extend coverage to employees at worksites where the employer employs at least 25 (currently 50) employees at the worksite and within 75 miles of that worksite.

Time for Schools Act of 2001 - Amends FMLA to allow employees covered by such Act to take up to 24 hours, during any 12-month period, of school involvement leave to participate in: (1) an academic activity of their child's school, such as a parent-teacher conference or an interview for a school; or (2) literacy training under a family literacy program. Amends Federal civil service law to provide the same school involvement leave allowance for Federal employees.

Amends FMLA and Federal civil service law to entitle to leave those employees who must address the effects of domestic violence.