The correct answer is $\boxed{\text{A. Only II and III follow}}$.
Statement 1: Some spoons are bowls.
Statement 2: All bowls are knives.
Statement 3: All knives are forks.
Conclusion 1: All spoons are forks.
This conclusion does not follow. The fact that some spoons are bowls does not mean that all spoons are knives. For example, some spoons are soup spoons, which are not knives.
Conclusion 2: All bowls are forks.
This conclusion does follow. If all bowls are knives, and all knives are forks, then all bowls must also be forks.
Conclusion 3: Some knives are bowls.
This conclusion does not follow. The fact that all bowls are knives does not mean that some knives are bowls. For example, some knives are steak knives, which are not bowls.
Conclusion 4: Some forks are spoons.
This conclusion does not follow. The fact that some spoons are bowls does not mean that some forks are spoons. For example, some forks are salad forks, which are not spoons.
Therefore, only conclusions II and III follow.