After the bottle was found on the same beach 12 hours later, a Facebook post about it went viral.
The bottle was returned to the sea.
Ms Melia told BBC Radio Manchester that she hoped it would travel further this time.
Ms Melia, 24, said: “Life happened and my mum never got a chance to travel.
“Nobody was meant to find her for a bit – she was meant to be in a completely different country.
“I’d love her to end up on a beach in Barbados or Spain, which would definitely take a while.”
