Reference

In 1932, there were several special elections held to fill vacant United States Senate seats. Based on the gathered information, here are some states that had special Senate elections that year:

1. Arkansas: Hattie Caraway became the first woman elected to the U.S. Senate after winning a special election, making history in Arkansas.

2. Colorado: A special Senate election was also held in Colorado.

3. New Jersey: There was a special Senate election in New Jersey in 1932 as well.

These special elections occurred primarily to fill vacancies caused by deaths or resignations of sitting senators.

For detailed information, you can refer to the respective Wikipedia pages: 1932 United States Senate elections and List of special elections to the United States Senate.