Diana Damrau is actually a light lyric soprano. Very wrong to state she is a dramatic coloratura cause she is NOT. A real dramatic coloratura is for instance Edda Moser - it is extremely rare!
Leontyne Price is more of a spinto - she certainly had dramatic abilities, but the core of the voice was a heavy lyric sound that she could push safely into a larger sound.
She is known to be a Spinto but really really she was a lyric soprano something which she herself declare with her own mouth on video here on RU-vid. A real Spinto is heavier more like Martina Arroyo or Sondra Radvanovsky. Those are real Spinto voices! Way heavier and matellic.
Well, your range is quite small, so depending on how long you've been singing, it may not be developed well enough to tell. You, as of now, have a 1 octave and 4 note range, which fits in the soprano range. But assuming your voice has not expanded enough, it may be too soon to suggest if you are a soprano. If and/or when you develop your range, keep this in mind: you will need to see what notes are most comfortable to sing in. I, for instance, have a range from A2 (the bottom of the tenor range) to D7 (1 octave and 1 note above the soprano range). To determine that I am a soprano, I needed to take notice that I am most comfortable singing notes from about A4-A5. After that, I determined that I must be a lyric coloratura soprano, because of my voice's agility and flexibility in basic coloratura (staccatos, trills, runs, riffs, ect), and the fact that my voice is very light, bright, and is a bit lacking in warmth. For you, you will need to notice your vocal color, weight, and agility/flexibility to determine your fach. But, your voice seems to be underdeveloped, so I highly recommend that you practice singing often. I didn't even have half the voice have now a year ago. It takes time, but you can get there. EDIT: I did need to rewrite parts once I delved deeper into opera singing, and noticed that I incorrectly categorized myself as a mezzo, since my voice is not dark at all. Anyways, women need to look more into opera to find out their voice type, because they all stem from it, and find out which arias you can sing or can't sing.