Washington, Jan. 8 -- Republican Congresswoman Nancy Mace on Wednesday pushed the House Oversight Committee to move toward issuing subpoenas for immigration-related documents connected to Ilhan Omar, her former spouses and members of her family.

The effort, however, did not move forward, as several committee members said the matter should fall under the jurisdiction of the House Ethics Committee. Following this view, the Oversight Committee set aside Mace's proposal.

Mace raised the issue while speaking at a hearing focused on benefit fraud in Minnesota, where she referred to allegations that Omar may have married her brother in order to secure US citizenship. The claims cited by Mace have not been proven.

After the hearing, Mace reite...