Hi DM,
I am also related to your Gt Gt Grandmother Elizabeth Anderson (nee Lennie). Her daughter Elizabeth Mckay (nee Anderson) born in Wick in 1855, was my Gt Grandmother.
I am stuck at the same wall that you have reached so I can't answer your question but would be interested in the answer.
I have been trying to determine the relationship between John Linay and Barbera Croy. The 1841 Census is particularly interesting as it shows Barbera Croy living with both Betsy (Elizabeth) Linay and Alex Anderson, two houses away from a John Linay and his family in Whitehall Village
Another thing I noticed was that two of the witnesses to the marriage of Betsy Linay and Alex Anderson in 1843 are a William and Charles Linay who appear on the same 1841 Census in Whirtehall as sons of John Linay.
I know that this doesn't answer the question you posted and you may have this information already but I am hoping that there is something there that might help.
Regards,
Richard.