I had a look round the cemetery today and unfortunately I could not see the headstone you are looking for. You did however say that it was possibly near the door and there are a couple of headstones near the door that are just impossible to read as the writing just seems to have been worn away. The only Alexander Murray I did see had buried his grandson Thomas Templeton who had drowned. Sorry I could not see it but if you need any more help here just give me a shout.
ps I was just looking around the internet and I found a Vicki Hails on rootsweb, she seems to have a lot of information about the family.