Some more info for you.
I have found a sibling for Peter:
Alexander Grieve, born 15 Jan 1804, baptised High Church, Paisley on 21 January 1894. Parents: Alexander Grieve and Cathrine Taylor.
Scottish naming traditions:
First born son - named after paternal grandfather
Second son - named after maternal grandfather
Third - named after father
Fourth - named after father's oldest brother
Fifth - named after mother's oldest brother
It's not a hard and fast rule, but a good signpost particularly if the same names repeat through the generations in the same area.
With this in mind, here's what I've found using info on Family Search.
Alexander Greive, born 15 Jan 1773 and baptised in Port Glasgow, Renfrew. Parents: Peter Greive and Sarah Boyd.
Alexander Greive born 18 Jan 1714 and baptised at the West or Old Parish, Greenock, Renfrew. Parents: Alexander Greive and Elizabeth Walker.
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