Robert Bayne, 21, denies murdering the Motherwell College student and setting fire to her body.
Ms Campbell said DNA matching Zoe and Bayne was found on both bottle and lid.
Some of his co-workers accuse Bayne of being a management "suck-up, " and he was physically threatened recently.
Mr Bayne denies killing the 17-year-old near Wishaw last May and attempting to defeat the ends of justice.
Information technology technician Ethan Bayne, 26, has been one of the first to benefit from the new technique.
BBC: Ninewells Hospital to use new keyhole surgery technique
Yet the difficulty in changing workplace behavior is seen through the experience of 36-year-old dockworker Roger Bayne .
"Suddenly my ability to support my wife and two children depended on the security of the company, " recalls Bayne.
The odds against the DNA in the red, plastic sombrero lid coming from anyone but Bayne were 9.6 million to one.
At the High Court in Edinburgh, prosecutor Lesley Shand QC, said 21-year-old Robert Bayne went to "dreadful lengths" to conceal his crime.
Goals from Andy Dow, Arlid Stavrum and Paul Bernard struck the killer blows for the Dons with Graham Bayne scoring Dundee's sole reply.
By this time, mouth swabs had been taken from Robert Bayne, who denies murdering the student and setting fire to her her body.
Lesley Shand QC, prosecuting, asked Ms Hutchison if Ms Nelson had ever said anything about what Mr Bayne was like when he was with her.
BBC: Murder trial told Robert Bayne 'fought with' Zoe Nelson
And the probability of finding a match for the DNA on the mouth of the bottle, if it wasn't from Bayne, was one in 61, 000.
The witness also told the court that Mr Bayne told Ms Nelson he loved her during the conversation, but that she did not seem pleased about it.
BBC: Murder trial told Robert Bayne 'fought with' Zoe Nelson
She recalled that Ms Nelson had bruises on her face and body, saying she told her friends she had "been fighting with Robert Bayne the night before".
BBC: Murder trial told Robert Bayne 'fought with' Zoe Nelson
And MacLean suggested that Dundee's use of trialists - retired former Scotland winger Neil McCann and ex-Dunfermline striker Graham Bayne have also guested - was to the benefit of the other Division One clubs.
The single port keyhole surgery only took an hour and Mr Bayne was discharged from hospital the next day, as opposed to four to five days as is the case with traditional keyhole surgery.
BBC: Ninewells Hospital to use new keyhole surgery technique
The prosecutor also told the jury that although she was inarticulate and an undeniably reluctant witness, Zoe's younger sister, Laura Anne, had been truthful in her account of how she was allegedly shown the badly burned body by Robert Bayne.
The jury was also told that throughout the day there had been a number of witnesses who had seen Mr Bayne, increasingly intoxicated and aggressive, in Zoe's company - in spite of his claims that he had been home alone all day.
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