Published Tuesday, 15 October 2013
Mr McCrory, who had a criminal record, was killed by a gunman in a top-floor flat on Shipquay Street last Thursday morning.
His partner, who was in the house at the time of the shooting, escaped without injury but was treated for shock.
She was forced first into another room by the lone gunman before her 35-year-old boyfriend was shot dead.
On Tuesday, a priest at the funeral at St Joseph's Church, Galliagh, echoed an appeal by detectives for the man wanted in connection with the murder - 58-year-old Kieran McLaughlin - to hand himself in to police.
Fr Michael McCaughey said that the murder has stunned the community.
"It's a brutal and horrific murder. The city has been left stunned by the death over the last few days.
"Thursday morning brought the city to a standstill with what was a very violent and very tragic death.
"We also remember that this is a family grieving for a son, a father, an uncle, a nephew," the cleric added.
Police are looking to speak to Mr McLaughlin, who is from the city, about the murder.
A manhunt on both sides of the border has so far failed to locate him.
But, there have been reported sightings of Mr McLaughlin on both sides of the border, and ports and airports have been alerted.
The PSNI have warned a number of people in the Derry about their personal safety, and have suggested several may be in danger.
A stabbing incident just days before Mr McCrory was fatally shot is also being investigated as part of a wider inquiry.
PSNI Chief Inspector John Burrows said Mr McLaughlin should only be approached with caution.
He added: "We have discussed with a number of people their security in relation to this case. We can manage this risk at the moment."
A former republican prisoner, Mr McLaughlin was jailed for arms offences. In 2004, he got a temporary release from Maghaberry prison so that he could give evidence to the Bloody Sunday Inquiry.
Detectives investigating Barry McCrory's murder have made several appeals for him to come forward.
On Monday, Mr McLaughlin's family also appealed through police for him to make contact.
SDLP MLA Pat Ramsey knows Mr McLaughlin. At the funeral, he urged him to hand himself over to police.
"Kieran, please come forward. You're causing further duress - not just in terms of the city - but to your own family.
"I've been with your family. Your family want you to come forward.
"They want you to co-operate and give yourself up as quickly as possible to ease the pain, in particular, that they are going through."
© UTV News