Still doesn't sound likely on the facts. Scots law has the Requirement of Writing ( Scotland) Act 1995. It also has a doctrine of 'personal bar' which is akin to our estoppel, though it has estoppel too. The Act appears to recite what has been the Scots common law.The Act requires all contracts relating to land to be in writing.However, it permits of exceptions in Section 1(3) to (5). See the Act. Briefly what it amounts to is that, if one party has been caused to act so much to their detriment by the conduct of the other (and damages are not a sufficient remedy) then defect in the writing or absence of writing is not a bar to there being a contract created. My words in brackets there reflect the case law. In one case , Rutherford Ltd v Allied Breweries Ltd 1990 SLT 249, one party had gone so far as to create and pay for all the conveyancing documents ready for the anticipated conveyance. It was held that this was not suficient to create a contract under this principle. Damages for the costs incurred were appropriate.Your case seems to fall well within the 'damages only' category.Other cases, from areas beyond sales of land, suggest the same, all the way back to Walker v Milne (1825) 2 S [new ed.] at 338
Still, let's hope you can find your case.
There's a long discussion of the principle in the European Journal of Comparative Law.With any luck this link may work and lead you to it:
http://www.ejcl.org/103/abs103-11.html