If anyone can show me a family where the 4th to 14th names are as on that list, I'll happily eat my hat, or anyone else's for that matter! 
Hi Ibi
For the family of 13 that I have who most closely followed Scottish naming patterns
Son 4
is the Mother's Mother's Father
Son 5
is the Mother's Father's Father - Father's Mother's Father produced a duplicate name so presumably could not be used.
Son 6 is where it stops, as this is Father's Grandfather, rather than Great grandfather as the link suggests. The link gives Grandfather as Son 3, but I have always found this to be the father. Grandfather and father would be the same name for a first born son only.
I think I am too confused to trace the girls, but I believe this, my favourite Scottish family, did try to follow the list, without using Aunts and Uncles, but given the naming patterns, Aunts and Uncles would have the same names as parents, grandparents etc.
Trish