Posted: 14/10/2016 at 12:42
Alaurel hedge is unlikely to have been planted as a staggered double row as beech hedges sometimes are, so no, I don't think it will be possible to uproot a lengthwise portion of the hedge without destroying it.
What a laurel hedge needs is regular trimming, at least yearly - height and width.
You can cut hard back into laurel and it will regenerate, so I suggest you have her side of the hedge cut right back to the main trunks this winter, and then seek her agreement to allow you to trim it properly every summer after the birds have finished nesting - late July onwards should be fine.
That should keep it back from her garden on her side. You should also trim your side at the same time but not as hard back - that way you'll still have a thick hedge to maintain privacy for you both.
A well kept laurel hedge is a lovely thing, and so much nicer than a fence - and at least you don't need to paint it