If you text someone, can they find out your name easily?

As in, will it show up anywhere where they could easily access it.
My phone is an iPhone 3G, and I think the other person's phone I'm referring to is either an iPhone 4S or 5g.

And if so, is there a way I can mask my name?

Well if they don't have your number, it will only come up as your number on their phone. And odds are they won't recognize the number by heart and know who it is. But if they have your number and it's in their contacts then your name will probably show up.

No they won't know your name