RootsChat.Com

The NAS only hold some of their historic BDM records.

E.g. Glasgow City Archives hold the registers for St Andrew's by the Green Episcopal Church, Glasgow.

Which church in particular?

Please be aware that many parishes were not established until the mid-1800's.

Here is a 2008 list of the registers held by the Scottish Catholic Archives:
http://www.scottishcatholicarchives.org.uk/FamilyHistory/ParishRegisterholdings/tabid/82/Default.aspx

Sue,

Given that they were Roman Catholics there might be some record of them in the Scottish Catholic Archives.
See http://www.scottishcatholicarchives.org.uk/

Catholic Parish Registers Births and Baptisms have recently gone online at ScotlandsPeople.

Deaths, burials and funerals are "coming soon".

Monica,

From Crown Office Notes of November 1998:

The Procurator Fiscal has a right and a duty to control the disposal of a dead body while he makes enquiries into the death. Depending upon the circumstances he may decide to leave the body where the death occurred, eg at home or in a hospital. He may decide to have the body removed to a police or hospital mortuary or a specially designated mortuary. He will require to decide in every case whether he will accept a medical certificate as to the cause of death and release the body, or whether an autopsy is necessary. When releasing a body the Procurator Fiscal requires to decide whether cremation may be allowed to take place. There may be circumstances, for example a homicide investigation where the Procurator Fiscal cannot allow cremation to take place as it would lead to the destruction of evidence available from the body. If the Procurator Fiscal has no objections in principle to a cremation, the matter then becomes one for the Medical Referee to decide.

In every case in which (a) there is a possibility that the death was caused or contributed to by the commission of a criminal act, or (b) there is a possibility of criminal proceedings in which it will be necessary to prove the fact and cause of death, an autopsy must be carried out by two pathologists.

End of quote

I suggest that a search of the Sheriff Court records might find details of the investigation or Fatal Accident Enquiry.

The Glasgow Cemeteries department only charge for a search if a search is needed.

I went to them with a name and date of death and they found the lair number while I waited, for no charge.

They recommended that I arrange to meet the keeper on site - he will guide me to the lair, at no charge. 

They also told me that the grave was in "common ground" where there will not be a headstone.