hmm... sounds like maybe someone took your picture... and then asked "do you want to take mine?" ... that is the sort of situation this sentence makes me think of... but without more info... it is hard to tell... sorry i can't be of more help. (_ _ )

its without kanji and no situation, so there are 2 way, i think. 1. 私の、取りたいですか？ Do you want to take(get) from mine? 2. 私の、撮りたいですか？ Do you want to take a picture of me?

私の取りたいですか？（わたしのとりたいですか？）可能就是想说我想得到什么吧。。。

Well without the kanji, it is a wild guess: "That's something I want to have". You'll have to add the kanji mate.