Vikas Marwaha would normally be considered a good catch by Indian parents seeking a husband for their daughter. The 27-year-old software engineer earns $80,000 to $100,000 a year and comes from a family "of doctors and engineers," according to his profile on a matrimonial Web site.

But Mr. Marwaha works for a start-up Internet phone company in San Francisco. And because the U.S. economy is wobbly, that's a problem. Many Indian parents now are balking at sending their daughters to the U.S. to marry.

During...