Police have arrested a 34-year-old man on suspicion of the murder of Olivia Pratt-Korbel.
Nine-year-old Olivia was shot in the chest at her home in Dovecot, Liverpool, on August 22.
Her mother, Cheryl Korbel, 46, was injured as the gunman chased convicted burglar Joseph Nee into their property at about 10pm.
Officers said the investigation into Olivia’s murder is ongoing and continues the appeal for information.
The force had already arrested nine other men as part of the investigation but all had been bailed.
The reward offered in the hunt for the killer had been increased to £200,000.
Announcing Crimestoppers’s biggest single reward offer last week, the charity’s founder and chairman Lord Ashcroft said: “This case has been incredibly shocking, not just for those who are directly affected but also for Liverpool and the nation as a whole.
“I am delighted that with the support of a private donor, Crimestoppers can now offer a record £200,000 for information to catch Olivia’s killer.
“A precious young life has been lost so we need every effort to find those involved in this appalling killing.”
Police have also revealed the two weapons used were a .38 revolver – the gun responsible for killing Olivia – and a Glock-type self-loading 9mm pistol which was fired in the initial stages of the incident.
Pink ties, jackets, scarves and bows were worn by those attending the service after her family asked people to wear a “splash of pink”.
Ms Korbel carried a pink teddy bear into the service, during which she said: “Liv touched so many people’s hearts and was loved and adored by everyone. She will never be forgotten.
“I will never say goodbye but what I will say is goodnight, love you, see you in the morning.”