Looks like your run of the mill sour cherry to me.

Thanks purpleinopp. I saw it didn't link properly but after at least an hour of trying to post on this site (trying to login, trying to find the page again after logging in, trying to upload photos, trying to resize and reupload photos, posting photos on flickr instead, trying to delete the uploading photos, trying to upload the link etc.etc.etc) I gave up making it work. It is rather difficult to figure out this site and I'm pretty computer literate. It could be way easier to post here. I hope it ends up being worth it and someone can name this tree for me!

Ok , so I decided to Take a piece to the University here , as my sisters friend studies Horticulture, and said she could ask the professor. Hope it doesnt cause an uproar but he said , without a doubt...it is Euonymus alatus(obviously not compactus). He said they can grow to 20 feet tall. He also said that it was unfortunate that they cut it back the way they did, removing the bottom branches . This is why it snaps under a heavy rain...no support from below. So now my question is this , How can I restore it to its proper shape, filling in at the bottom? Should I cut it back in spring ? Its so old im afraid to take it back to a stump.

Fruitless (male) mulberries were very popular in our neighborhood when developed during the late 1960s. A few are still doing well, but most declined in the 25 to 35 year age range. Can be a very nice fast growing shade tree, but here are a few comments after living with a couple of them in a small yard for over a decade: Three feet from the PL could be tight if there is a fence or other hard-scaping - Trunk will eventually reach ~3 ft in diameter plus another foot or so for root lift around the base. Our PO planted one only about 7 ft from the house slab. While way too close for its eventually large trunk, the roots didn't cause any foundation or drain problems. "Fruitless" does not mean "flowerless" - The male flowers are numerous, large, and produce MUCH pollen. Not bad over a lawn, but can make a mess over vehicles, pools, gutters, or other spaces where the piles of flower debris and/or yellow dust would be a problem. As mentioned earlier, seems your neighbor's could still be an immature female tree, then would also deal with the fruits. They grow fast and want to branch low and often. Makes them wonderful climbing trees, but can require more trimming (large + fast growth) on urban lots than most others. Removing new whips a couple times a year while still small enough to be clipped with a pole pruner was much better than fixing the frequent crossed and sagging-towards-the-ground branches later with a saw. They want to produce very dense shade. More shade tolerant turfs, like St. Augustine, can be kept alive to within a few feet of the trunk with the right exposure and pruning. May not be much of a change factor if the tree is to your north. But if it's on your south that close to the PL, it could eventually change what can grow in something like a 18 foot arc of your yard. Not necessarily a bad thing. Assuming you were diplomatic in asking to kill you neighbor's tree, seems unreasonable for them to get angry over your concerns about such an eventually large and rampant grower that close to your PL. Maybe there's still a window to suggest/offer moving it or replacing with an alternative better for both of you in that location.