Step 1: Understanding the Concept:
The terminology 'early' and 'late' in potato blights refers to historical disease phenology and temperature preferences rather than strict crop growth limitations.
Step 2: Detailed Explanation:
1. Statement I is INCORRECT: Late blight (Phytophthora infestans) can attack the potato crop at any vegetative growth stage whenever favorable environmental conditions (temperatures $12\text{--}22^\circ\text{C}$ and relative humidity $> 90\%$) occur.
2. Statement II is TRUE: Early blight of potato and tomato is caused by the fungus Alternaria solani (phylum Ascomycota), producing characteristic target-board concentric necrotic rings.
Step 3: Final Answer:
Thus, Statement I is incorrect but Statement II is true.