Cemetery Records online? Possibly Not.

The following: City of Lethbridge Cemetery -Cemetery Inquiries
http://www.lethbridge.ca/home/For+Business/Cemetery+Inquirie...
What information are you searching for.
Do you know the name of the Cemetery?Lethbridge City Cemetery?
Contact the Cemetery Office - they can give you section name,plot number,grave number. they can also give you the name and address of the Funeral Home in charge of arrangements. Martin Brothers Funeral Home/Chapel?

The Funeral Home takes the personal information required at the time, for the Death Registration {long form Death Certificate}
They may be able to assist - with some information but there may be concerns about privacy
http://www.mbfunerals.com/

Death Registration /Genealogical Registration [Lond form Death Certificate] can be obtained from the Govt of Alberta Vital Statistics Registry Offices - the cost in the $40 range.

Cheers, Stella