Hannah Rose Garside, 17, was reported missing last night and a search was launched.
Police Scotland officers confirmed this morning, Monday, that the search has been stopped.
And, in a statement, a spokesman said: “Although formal identification is still to take place, the body, which was found in a wooded area in the town is believed to be that of Hannah.
“Hannah’s family have been informed of the discovery which is being treated as non-suspicious at this time.
“The Procurator Fiscal has been informed.”