Do you need to be happy yourself, to make others happy?

I had a discussion the other day with a friend of mine. She kept saying, that I had to think of myself (I’m known as quite the do-gooder, and I absolutely hate doing stuff for my own sake), and that I couldn’t help anyone, if I myself wasn’t happy.
She told me, that to put others needs before my own, I had to think of myself first (yea, that’s what she said, and I think it’s rubbish). That I had to be happy to make other people happy.
So, basically, my question is: Do you think she is right? That you to be happy yourself to make others happy?
The reason she says this, is because I told her that I, myself, found my own happiness quite .. irrelevant, so to say. It doesn’t really do much for other people, and I believe that the happiness I could gain for something would be much better “in the mind” of someone else, if that makes sense.

So, do you think you can make others happy, without being happy yourself?

And sorry Fluther, it’s late and I can’t seem to phrase this the best possible way…