CORRECTION as I found my original box:
Model is A1181 so 13" screen
No, the A1181 is a Macbook with an Intel "Core Duo" (T2500) processor, it won't run MorphOS.
So that can't be the right box.
What is the order # for the laptop?
A 1.33 GHz iBook would be M9627LL/A (A1055 is the generic model# for 2004 933 MHz, 1.0, 1.2 and 1.33 GHz iBooks).