Elizabeth and young George are on the 1911, 1921,census living with her family.
What were the names of her parents? Were there any siblings listed in either census?
There was an email sent to a city in Australia from an Albert Innes looking for information on his grandfather Andrew Inness. So this indicates that George had a child called Albert.
How do you know that Andrew Innes didn't have any other children who could have been the father of Albert?
Did Elzabeth Pirie marry? Did George Marry or cohabit and have children.
George John Innes died in 1991 mother listed as PiriE St Turriff.
You would need to get a copy of his death certificate, which should name his parents, including his mother's married name if she did marry, and his wife/wives. You can't see this online as it's less than 50 years ago, but you can order a copy from Scotland's People.
Will the death certificate show children?
No.
Would a local newspaper carry death or funeral details?
It might, but accessing it online may not be easy as it's relatively recent. The most likely newspaper would be the Aberdeen Press and Journal, or maybe the Turriff Advertiser.