Sentencing Ms Sorley, of Akenside Hill, Newcastle-upon-Tyne, to 12 weeks in prison and Mr Nimmo, of South Shields, Tyne and Wear, to eight weeks, Judge Howard Riddle said it was "hard to imagine more extreme threats".
Among the tweets Ms Sorely directed towards campaigner Caroline Criado-Perez was: "die you worthless piece of crap". Tweets posted by Mr Nimmo included: "I will find you :) ".
On 7 January, Mr Nimmo and Ms Sorley pleaded guilty to sending the tweets, admitting they were among the users of 86 separate Twitter accounts from which Ms Criado-Perez had received abusive messages.