A neighbour of Tia Sharp's grandmother claimed he saw the schoolgirl walk towards a bus stop while he was having a cigarette in his front garden.
The court was read a statement given to police by Meehan, in which he said: "From the time I saw Tia I didn't take my eyes off her."
He added: "I think we're all willing and hoping to find Tia safe, more than anything else."
After his arrest, Meehan told officers: "I definitely saw her leave the house. Whether she came back I don't know."
Meehan denies causing wasteful employment of the police by making a false report that he had information linked to an inquiry on August 6.
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"I saw a lot of smoke come out from the tail-end of the aircraft. I wondered if it was normal, whether it was just exhaust fumes."
The House of Commons Petitions Committee has said they will keep an eye on the petition and are concerned about fraudulent signatures.