According to deputies, Wright got out of her vehicle and started screaming and hitting the windows of the vehicle.
Wright has been charged with felony reckless endangerment.
David Kustoff, a freshman Republican, in her vehicle after a town hall event on Monday.
The sheriff's department said the victims turned off the highway and pulled into a driveway of someone they knew.
Rep. David Kustoff, R-Tenn., participates in the House Financial Services Committee meeting to organize for the 115th Congress on Thursday, Feb. 2, 2017.
Wright then blocked the auto until a 911 call was made, police said. However, the congressman left in his auto and "that's why she began following him", according to Plunk.
"I've been led to believe she was upset over a vote he had cast involving health care", Plunk said.
Hours of Rain in the Weekend Forecast, Weather Officials Say
We'll see a mix of sun and clouds today as a high pressure begins to move out of the area and highs are seasonable in the low 70s. Of interest are two other storms on the satellite, one off the Pacific Northwest coast and the other east of Nova Scotia.
Investigators tell Local 24 that the incident happened in May 8 in Weakley County. Sgt. Marty Plunk said that according to eyewitnesses, Wright cursed a lot at the congressman, but witnesses largely couldn't understand what she was saying.
The May 4 House vote paves the way for states to individually determine whether people with pre-existing conditions can enroll in state-operated health care exchanges created under Obamacare.
Wright's cue to finally leave came when Kustoff and Dunavant called police, and that could have been the end of it except for one thing - the deranged Wright had to boast of her encounter on Facebook, and the jig was up.
Wright is scheduled to appear before the Weakley County General Sessions Court on May 15.
A spokesman for Kustoff told BuzzFeed News that the congressman had no comment on the incident.
Kustoff said he voted for the bill because the "current health care system is failing Tennesseans".