Why "え" is used here? What does it mean?
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手ぇふった is a way of indicating in writing the compensatory lengthening of the vowel in a single-mora word that sometimes occurs when the following case particle
を is omitted in familiar speech. This is described in The Phonology of Japanese (Labrune 2012) in section 2.7.5, 'Prosodic Lengthening'.
So as Yang Muye says, it means