Southampton Animal Shelter Square Dance Slated

Is there a list of lost pets at the animal shelter? We have found a cat that has a collar on it, meaning it belongs/belonged to someone, but the collar has no information on it. I cannot take the cat into my house because I have 3 house cats. The cat wants to come inside. It's very cold outside. I can't catch it to take to the shelter. I am feeding it and it is living in my deck. If the shelter has a list of lost pets and their description, I might find the owner. It's a black cat with white markings.

Is this the correct location? I've been told the venue is elsewhere.