Peachy Help Needed!

When the mulberry tree near the corner of my yard uprooted this past February, it revealed a smallish tree next to it.  Apparently, a small peach tree has chosen to grow in my neighbor's yard, just over the property line.  There are complications from an electrical "box" for underground power lines, that was conveniently located at the base of the mulberry tree; the little peach partially uprooted, and has subsequently begun to grow in a curved shape.  Because it is leaning precariously close to the electrical box, my neighbor has decided it must go.  She is as non-planty as I am; she has no interest in doing anything other than cutting the little tree down.  I, however, am sensing an opportunity; I would love to rescue this little peach tree and plant it in my yard.

When I say "little," I mean in comparison to my mature red oak, which I might get my outstretched arms half-way around, if I were of a mind to hug it.  The little peach tree is probably 10-12 feet tall, and it is hung with fruits that are green, faintly fuzzy, and probably 2 to 2 1/2 inches across (which is how I came to identify it as a peach tree).  I know nothing about growing fruit trees, but this little leafy optimist was flourishing in the shade of a very large mulberry tree, and sprouted leaves, flowered, and is fruiting despite having been partially uprooted this past February, so I'm pretty sure I can treat it better than that.  I have areas in my yard that are full sun from fairly early in the morning until mid-afternoon, and some that stay sunny until late afternoon as well.  

My question is whether it is possible to transplant this (adolescent? adult?) tree within the next week or so without killing it or severely stressing it, mid-fruiting?  Would it be better to try to root cuttings?  There are some new branches, which I assume would be appropriate as cuttings.  For small cuttings to grow into trees would likely take several years, at least, I assume.  With its trunk significantly bent due to reaching for sun after partially uprooting, how could it be planted to grow upright?  Could the bottom few inches of one side of the trunk be buried, to set it upright upon re-planting?  (All of this is assuming that I can dig up and carry a 10-12' tree across the property line and dig a hole to replant it, which may or may not be safe assumptions.)  Can anyone offer me some idea of the best option?

Thanks!

Welcome to the forum!

I would be sure to get all the roots and transplant in the fall when dormant.

Is your neighbor okay with having a big hole in her yard?  I would be sure ans have enough dirt to fill in the hole.

I would use the Ellen White Method:

https://permies.com/t/160325/Ellen-White-Method-tree-planting

If you can persuade your neighbour to delay the transplanting of the tree until autumn, the tree is more likely to survive the transplant.

You can also get to taste the fruit and decide whether it is worth the effort.

Most peaches grow true from seed and will fruit after just 3 years so if the fruit are tasty, you will have lots of pits that can be planted as a back up if the transplanted tree doesn’t survive.

Autumn would be the best choice. . . however, if it has to be NOW, dig the hole for it in your garden, then I think it would be wise to prune the top, and get as much of the roots as possible, and be prepared to coddle the tree for the next little while, especially if the weather gets hot.  How are you with a wheel barrow? it will likely need a couple of friends, and possibly adult beverages to accomplish the transfer to your yard.