Legal Question in Wills and Trusts in New York

Re: Wills

What, if anything, does the Will says in this instance? The Will is still valid and some alternative beneficiary may be named specifically by name or survivorship category (such as "issue", which are children or grandchildren of the decedent, or a generic phrase like "heirs at law and next of kin" which are more remote relatives). If no one is named, the intestacy statutes specify who takes next. This is a general response and unless I actually see the language in the document, I cannot respond better.