The Metropolitan Police has released mugshots of the pair who were jailed for sending abusive Twitter messages to feminist campaigner Caroline Criado-Perez.
Isabella Sorley, 23, of Newcastle was sentenced to 12 weeks imprisonment, while 25-year-old John Nimmo, of South Shields, was handed an eight-week sentence.
They were also ordered to pay £800 in compensation for "sending by means of a public electronic communications network messages which are menacing in character."
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The suspect, 35-year-old Willie Corey Godbolt, has been arrested and was being treated for a gunshot wound in hospital.
Mohanna Abdhou, known as Montana, was out with friends when two attackers cycled up to them and opened fire in Brent, north-west London.
The US president tweeted that Mrs May gave him "full details" of the incident during talks while he attended summits in Europe.