Some Solvent formula's include certain oils which inhibit the fast evaporation usual associated with pure volatile solvents. This will allow more contact dwell time which is often necessary to break down certain oily greasy stains more effectively.
Once the stain has been removed, it is necessary to deal with the oily nature of the longer dwell time Solvent. As I understand It is usually necessary to remove this oily residue with a 'volatile Solvent'.
A volatile solvent is a solvent that does not have any of the oil base within the formulation and therefore will evaporate quite rapidly. This Volatile Solvent can be used to take out the oily substance left by the former solvent without leaving any residue.
To be honest with you though, I generally prefer to use the citrus based solvents on most solvent soluable stains. In terms of H&S these tend to be safer in use than wet or dry solvent, and they have a very pleasant fragrance. I find that the majority of solvent soluable stains will respond with Citrus based Solvents, and only use the mineral spirit or petroleum based solvents as a last resort, or to known specific stains that require them.
If the stain was a greyish nature when you returned to veiw the problem this would suggest that this was an oil residue from the Solvent, and this was attracting soil like a magnet. I have to admit though, that I am not familiar with that specific Ashby's solvent you mentioned.
A hot higher alkaline detergent could possibly help to rinse out the oily residue, but I am not so sure about using Vineger, as we are not neutralising pH in this situation, we are rinsing out an oil residue.
I hope that this clarify's some misconceptions, and that it may be useful to you all.
Kind regards
Robert Olifent