Harrison is said to have recorded a 'secret' new album
The ex-Beatle was cremated in a cardboard coffin without a ceremony just hours after his death, as his Eastern faith required.
According to reports Harrison, 58, was secretly recording an album provisionally called 'Portrait of a Leg End' before his death and had put down 25 tracks.
It is also claimed he healed a rift with his 70-year-old American sister in the days before his death, probably at the request of his wife Olivia.
Simple prayer
Funeral directors Hollywood Forever were called to the Los Angeles home of Harrison's friend Gavin de Becker just 20 minutes after he died there.
His wife Olivia and son Dhani were given the ashes after the service, which cost less than £350.
A member of the International Society for Krishna Consciousness suggested Harrison's ashes may be scattered on the River Yamuna in India, which runs through Harrison's favourite spiritual retreat.
He said: "He would stay there for several days at a time. It was a place he could worship with peace of mind for no-one knew who he was in India.
"George wanted to keep his death a private matter, just like his life."
New album
The final George Harrison album was referred to as 'Portrait of a Leg-end' as a joking reference to his celebrity and his involvement with Monty Python's Flying Circus.
Dr Gil Lederman, of the Staten Island University Hospital in New York, the last doctor treat Harrison for cancer, said: "One (of the songs) was called, 'Brainwashed', about government and people."
California-based musician Jim Keltner, who played drums on some of the tracks, was quoted in the Sunday Times as saying: "Some of the new songs are very poignant, concerning his life in the past few years.
"The CD is very close to finishing."
Healed rift
In America the New York Daily News said Harrison healed a long-standing rift with his sister Louise before his death.
They fell out when she opened a bed and breakfast in her home in Illinois called Hard Day's Nite - a project which reportedly "appalled" him.
It is thought Louise drove 1,000 miles from her home to New York to see her brother, who she had not spoken to in four years.
A source close to the family said: "He was very clear about what he wanted and what he didn't want. He didn't want to see his sister.
"But finally, probably because his wife Olivia encouraged him, they spent a half hour together. They reconciled."