So many people who are willing to log in just to trash talk someone on an internet forum, so strange. o.O
Anyway, just a side note first - one of the reasons I do AD Eve, is because with just a little bit of lead time, you can jungle extremely well, and pop out to farm minion mobs in empty lanes very quickly. I just mention this, because half of my games with Eve have a "slow start" for her, I rarely die early on, but sometimes I find myself at like 0-0-3 and a bit cash starved, so I jungle for a few minutes to get some levels and gear before going back to work.
Anyway, Eve needs either a healer, or someone who can take loads of harassment, or at least someone with good range who is hard to harass. All ranged carries can be "okay". Most tanks are slightly better than okay, most mages are better than that, and support are mostly the best.
My favorites -
Alistar - He is so hard to harass, especially when they fear you are in the shadows, plus by spamming his heal, he can prepare a push that makes your initiation very imposing.
Rammus - He can take so much punishment, and your Stun gives him time to get off a Taunt, which gives you time to kill. It's beautiful.
Taric - Such a good healer, and the second Stun is priceless for Eve, especially early when you have no real burst.
Soraka - She can Heal you, AND give you mana? Sign me up! I wouldn't have guessed her to be a good partner for Eve, but it happened once, and was amazing.
Ryze - Yeah, he often gets the KBs, but you will kill so easily. It's not a good chance at a great game for you, it's a guarantee of a decent game for you, and it's worth taking.
Tristana - She MUST be highly aggressive. I only had this combo once as well, but she is one of the best harassers in the game, and when you Stun, and she Rocket Jumps on their head, it's game over.
Katarina - Nothing says I love you like a Stun+Ravage+Shunpo+BB combo instagib. <3 Katarina.
Jax - Similar to Kat, the ability to pin someone down for your partner to jump on and tear apart, is a good way to get Eve some kills.
Zilean - No really, if they're any good with Zil at all, it's just pure hilarity. This is one of the best combos to get a super fed/fat Eve.
Realistically, if you are doing what you need to do though, almost anyone can be a good partner for you. The keys are that they must be highly aggressive. If they want to hang back and last hit, like your Teemo friend, then they will starve you. That is one of the main causes of my early-mid jungle catchup, is just a crappy partner who doesn't understand how to get kills with Eve.
Best bet, if you usually solo queue, just find a buddy who knows the deal. If he works well with you as one char, he will probably work well with you as another, then just duo queue and enjoy.