Thanks to Lodger's information, I was able to find out a little more about the White family. Today seemed like a fitting day to post as it's the anniversary of Andrew White's marriage to Isabella (Bella) McLeod. The marriage took place 18th July 1882 at Rosskeen Farm (Ross & Cromarty) where Bella's father, Kenneth, was a shepherd. Lodger's mention of a Robert White led to the discovery that Andrew's brother Robert married Bella's sister, Eliza, in 1885, again in Rosskeen.
Andrew and Robert's father, William, was in the army (Royal Scots Greys/2nd Dragoons). Family stories link him to Crimean War but I've not yet subscribed to sites that have military records so that'll be an area of research for future and may help me pin down the birthplace of some of William's sons who weren't born in Scotland.
I found the birth and death certificates for Robert and Eliza's first two children - both of whom died very young as mentioned in post above and both named Beatrice. Their other children (those I've found) were Kenneth McLeod (1890), William (1894), Robert Donald McLeod (1895), Colin (1897) and Harry (1902) and Elizabeth Margaret (known as Elma?) (1908). I assume no record of the children born from 1890 onwards because they survived beyond the date that the Globe Cemetery closed?
Additionally, the post from Lodger with note of memorial inscription records William's wife as Mary Early whereas I had her surname noted as 'Fairley' (from asylum records) so that may help me find out more about her background in England/Ireland.
Thanks again Lodger for the very useful information,
Bella