" I ncorrect grammar They each could mean be that: a) the shooting and killing happened at the same time b) the killing was a result of the shooting 1 and 2 both mean that he shot killed her, and they strongly imply that he did it very soon after he started to shoot. If the writer intended any other meaning (eg he started to shoot, and at the same time he killed her with a knife) then this would be an unusual meaning and he would make it clear by saying it another way. Clive PS I meant to say ' killed' , as edited above
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