Definitely correct. The trees were cut at least 100 years ago, at a time they were already several centuries old. It might be imagination but I think you can hear that age in the guitars tone. I also have an old growth pine Strat and it has that special depth in its tone, too. Very peculiar, very inspiring.
Congrats by the way, you will not regret your choice! And welcome to the club, if I may say so.