Young woman sweating too much...especially when drinking.?!

I'm about 5'1, very slightly above average weight (maybe "curvy" - but don't have a weight problem...), very fair skin, dark hair...of irish and french decent...I go out to parties and drink and I instantly become red-faced and sweat from the head and neck. I also blush very easily when embarrassed and have noticed this problem has increased as I've gotten older. I'm wondering if anyone knows what causes this and what I can do about it. I do try to drink a ton of water and avoid becoming dehydrated.