Hi,
I've been through this and started the process of changing my name back when my passport was going to expire. When I applied for the new one I applied for it in my maiden name, with all the relevant paper work, and ID. Once I had the new passport, I put in for my visa to be reissued in my "new" name. Then once I had that in place (in the
UK it took 6 months) I used my passport to start changing my name back on everything else (bank, at work, with the UK government, drivers licence etc).