That would have been prior to the 17th Amendment, of course. I read the 17th as forbidding states from such a move.
The Senate of the United States shall be composed of two Senators from each State, elected by the people thereof, for six years;
There is only one way to remove a sitting U.S. Senator -- a 2/3 vote of the senate to expel him.
In 1797, Sen William Blount of Tennessee was expelled for treason. Then, in 1861-2, fourteen other Senators were expelled -- all from Southern states and being sympathetic to the Confederacy.
There is no provision for recall of any elected federal official. This has been settled constitutional law for over 200 years.