Need a Bigger Emergency Fund

I don't think $1000 is gonna cut it. Too many emergencies cost more than that. Case in point? A situation tailor-made for using the emergency fund--my kitty was sick and I had to take him to the emergency vet one night last week. That little trip cost me over $700, and it didn't solve (or even actually find) the source of the problem. Then yesterday, I noticed a red hole beside his bum, so I took him to my regular clinic, and it turned out he needed surgery to remove the abscess. They did that yesterday (he's fine, but he doesn't like his cone), and that cost me over $600. So just like that, more than our emergency fund has gone poof. *sigh*