Gemma Ball, 20, needed internal stitches to the flesh in her face after a man pulled a blade on her when she caught him in the back garden of her home in Stoke-on-Trent, Staffordshire.
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The mother of a woman murdered by her ex-boyfriend has spoken of the "guilt" she feels for not realising the danger her daughter was in.
They are wanted in connection with a burglary on an elderly woman's house.
Police say a woman in her 20's was approached by a man who inappropriately touched her.