How do I block a buyer?

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Please help I have this crazy lady who won two of my items over 1 month ago after 3 weeks of non payment I sent her a message asking nicely to pay ASAP no reply so I opened a unpaid item case well she did reply after this with a very nasty & angry message about how she had done the right thing and contacted me ( lie) and that I was very mean as her mother had died I was shocked and messages back stating she never contacted me and I was sorry for her loss well she swore and carried on several days later still no payment so I requested to cancel transaction which she refused and sent me some more emails so I rang eBay and said I wish not to deal with this woman he told me after all this time she hadn't paid so I was free to relist them great I still haven't though as I'm still receiving emails now she's saying that her daughters in hospital fighting for her life and I just want her to stop emailing me I've checked her feedback and I'm sure she's done this before