Groves was one of four people fatally wounded when a gunman opened fire at the Waffle House on Murfreesboro Pike last Sunday.
The local newspaper reported that Groves, a senior at Belmont University, was described as having a tender spirit and a strong Christian faith.
Groves had been at the Waffle House with her Delta Sigma Theta sorority sisters after a night out on the town.
The alleged shooter, 29-year-old Travis Reinking, has been charged with four counts of criminal homicide, four counts of attempted homicide and one count of having a firearm while committing a unsafe felony.
The line of mourners waiting to give their condolences to members of the Groves family was so long that it snaked outside the Gallatin church.
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After it's passage, they say, they could try and find enough support in the full Senate to persuade McConnell to change his mind. A handful of Republicans supported the bill, but most have opposed it, arguing that it is unconstitutional or unnecessary.
He also offered words of support for family and friends at the funeral. "I'm not a singer ..."
Groves was very determined and was a perfectionist, her cousin, Juanesha Rodriguez, said.
Previously, Waffle House offered to pay for the funerals of all four of the victims killed. He said survivors spoke of Groves and her friend.
"They said they were singing gospel songs", Ehmer told the funeral, according to the newspaper.
"DeEbony's life was a display of God's love", she said.