The Mississippi Department of Public Safety says the nooses were accompanied by handwritten signs referring to Tuesday's election as well as to lynchings - a lot of them in the state's turbulent past, but also one recent case that remains under investigation, of a black man whose body was found hanging in central Mississippi.
President Trump traveled to Mississippi Monday in a last-minute effort to save a long-held Republican seat in the US Senate.
"She votes for us and she votes for 'Make America Great Again, '" Trump said in Tupelo, where he was accompanied by Hyde-Smith.
"We can not allow Nancy Pelosi and Chuck Schumer to revoke that victory by winning the state of Mississippi", Trump said.
Mississippi's past of racist violence became a dominant theme after a video showed Hyde-Smith praising a supporter in early November by saying, "If he invited me to a public hanging, I'd be on the front row".
A spokesman for Pressley said she arrived in MS on Saturday and flew to Washington on Monday morning.
"No one twisted your comments", he said at the debate.
But she has been engulfed in a political storm since a video surfaced showing her praising a supporter at a November 2 public event by saying: "If he invited me to a public hanging, I'd be on the front row".
President Trump plans to hold two rallies in MS on Monday in support of Hyde-Smith. Tuesday's victor will serve the last two of Cochran's six-year term.
Hyde-Smith, who originally was elected to the Mississippi State Senate as a Democrat, switched parties in 2010 and was elected state agriculture commissioner in 2011, the first woman elected to that office.
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Nooses hanging from trees and hateful signs were found at the Mississippi State Capitol early Monday morning, just a day before a runoff election to decide whether a black man will hold a Senate seat in the state for the first time since 1883.
Hyde-Smith hugged supporters at her precinct.
Hyde-Smith was projected to win by about 70,000 votes over Espy, a former congressman and agriculture secretary under Barack Obama. I won't tell Major League Baseball what it should do, but having experience with campaign committees, I'll say that this is the sort of thing people get fired over when public-facing businesses are involved or, at the very least, something for which they offer full explanations and apologies. They said, 'Put this cap on.
A poll conducted last week by RRH Elections shows Republican incumbent Cindy Hyde-Smith with a 10-point lead, at 54-44 percent, over Democratic challenger Mike Espy.
Democratic opponent Mike Espy, 64, a former USA agriculture secretary, replied: "I don't know what's in your heart, but I know what came out of your mouth".
But Mr Espy faces an uphill struggle, and would need to overwhelmingly win the black vote and a substantial number of white voters to unseat his Republican opponent.
Democrats acknowledge Hyde-Smith will receive a significant boost from the president's campaign rallies on Monday.
He said he expects Hyde-Smith to win on Tuesday, though he added that Republicans should be concerned about the potential for weak turnout.
He says the matter is under investigation, and he did not immediately know what was on the signs. He was tried and acquitted on 30 corruption charges, but the Mississippi Republican Party ran an ad this year that called Espy "too corrupt for the Clintons" and "too liberal for Mississippi".
Espy said he refused to accept plea deals because, "I was so not guilty, I was innocent". "I was going to vote for Mike Espy anyway".