Edit: I've read a similar question a couple of hours ago, the person was asking if it was correct to say "I want to speak with you" and/or "I want to speak to you". https://www.italki.com/question/408038 It could be due to different accents/dialects in English but they're both okay to use. I just reconsidered it and there's a difference. when you say give it to her it's an order but when you say give one for her you're asking the person to do a kind act FOR that person For example: Oh, The things I'd do to her. (could be good things, could be bad things) Oh, The things I'd do for her. (by saying for it's usually an act of kindness)

I agree with you that, as a sentence fragment, "one for me" sounds more natural; perhaps it's short for "this one is for me." I'd also agree that there is no point in correcting what isn't even a complete sentence. It's certainly good enough for a two-year-old.

Hi Viktoriya, In this context "one to me" doesn't sound too bad. In a sentence we could say. . . "Give one to me". I wouldn't really use "Give one for me". Having said that, in this context both convey the same meaning. I hope this helps.