Jefferson's son, Malcolm, was murdered in a West Ashley neighborhood on Oct. 8, 2013.
It was also his 18th birthday.
Four months later, authorities have yet to make an arrest in connection with the murder.
"I know that someone out there knows what happened to my son," she said.
Saturday, Jefferson, along with the National Action Network will walk through the community where Malcolm was murdered. The demonstration is the second of five planned demonstrations in the Tri-County area.
Organizers hope to prompt members of the community to come forward with information connected to Jefferson's murder.
"What we need is public involvement," said Elder James Johnson, president of the Tri-County chapter of the National Action Network.
"This can't continue like this."
Johnson believes the protests are a step in the right direction, after an anonymous donation to Crimestoppers in the amount of$4,000.
The money was given hours after the first demonstration last month.
"We're not going to stop," said Monica Jefferson.
"If I have to walk all over Charleston, we're not going to stop until this person is brought to justice."
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