The trees below are in northern NJ.
This is the first one. Is this a mulberry? http://tinyurl.com/jnagr
Second tree - crabapple? Some of the pics are a little blurry. The fruit is not a cherry. It looks like a very small crabapple. http://tinyurl.com/hpg6v
This is a tree that fell over. It is quite large, and I'm not sure how large mulberry trees get. The other thing is that some of the trunk branches are silvery, almost like a beech tree, of which there are many in the area. http://tinyurl.com/ebeyn
The reason I have to be sure is that I want to prune some branches for some exotic pets, and mulberry and crabapple are OK for them. They chew on the bark of certain trees, but other trees such as oak and cherry can be toxic to them. They're here, fwiw: http://tinyurl.com/4cnhy
That about covers it. I'd really appreciate any opinions or advice.