Carlton 6.13 (49) d. Essendon 2.9 (21)I was able to discover the basics of what happened via the VFL Records online link.
Carlton defeated Essendon in the first semi.
North defeated Melbourne in the second semi.
Carlton defeated Melbourne in the preliminary.
North defeated Carlton in the Granny.
North Melbourne 13.13 (91) d. Melbourne 4.8 (32)
https://trove.nla.gov.au/newspaper/article/178121340
From the Football Record: Third Eighteen semi-finals resulted as follows:—North Melbourne 13-13 v. Melbourne 4-8; Carlton 6-13 v. Essendon 2-9. Melbourne will meet Carlton in the preliminary final today, the winner to play off with North Melbourne for the premiership.
This one's hard to read; it probably says:
Melbourne 11.10 (76) vs. Carlton 12.21 (93)
https://trove.nla.gov.au/newspaper/article/178121896
AMATEUR FOOTBALL [coming soon]
The Herald (Melbourne, Vic. : 1861 - 1954) Saturday 14 September 1946 p 10 Detailed Lists, Results, Guides
... 13 93 1 LEAGUE THIRDS j PINAL Melbourne v. Carlton I FINAL ... 11 10 76 12 21 93
Football Record: The Thirds preliminary final re-sulted in a win for Carlton 12.21 to Melbourne 11-10. Carlton meets North Melbourne in the grand final this afternoon.
Carlton 5.12 (42) vs. North Melbourne 11.9 (75)
https://trove.nla.gov.au/newspaper/article/178122393
Football Record: North Melbourne won the Third Eighteens premiership by defeating Carlton last week 11-9 to 5-12.
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