Hi Barry,
Email Ayrshire Archives and ask if they have the business records for the company.
http://www.ayrshirearchives.org.uk/Most towns have their own cemetery, but they also can have other cemeteries as well.
You can email the local historian and ask for a lookup in the
MIs, this will tell you if the person had a headstone. Email on the Ayrshire GenWeb Page at:
http://www.rootsweb.com/~sctayr/Ask if they have the cemetery records for the period you are researching. If not, ask the local council cemetery department but you need a date of death as well as the name of the person.
tata
Alex