Can feeding deplete your body of nutrients to cause chapped lips or cracking of mouth corners?

So I was just wondering... I am a 1st time mommy and I am feeding my 11 week old daughter. Lately, my lips have been really chapped and now the corners of my mouth are cracking. It hurts and I've been putting on vitamin E and vaseline, chap stick, everything! But nothing is working. Is it possible that this is due to some vitamin or nutrient deficiency because of all the feeding??? Anyone have an opinion? Suggestion?