The strength for eve are invisible ganking and high mobility, hence she's still a good jungler, but a terrible laner. If you really want to play her in lane, mid-lane is a better option in my opinion, because you can still abuse her strength through roaming. As for top-lane, as far as I know, she can hardly beat any top-laner 1v1.
In terms of roam heavy mid-laner, there are many better options in this category(twisted fate, leblanc,kassadin, etc). You are gonna have some hard time farming in early game because 90% of mid-laner can shit on you early game, and this percent might be even higher in top-lane. Once you get some levels, try to push as much as possible, and start roaming, abuse your invisible ganking, you will still be relevant in the game if you can gain some early game lead.