Hello Tania
I haven't done a great deal on the Monk family, they only have a brief connection with my grandmothers family. I have identified an Archibald Monk born in 1907 on North Uist, mother MacVicar and a Barbara Monk in 1913. This is on ScotlandsPeople But I can't find any record of their parents marriage But I can find two records of their Monk grandparents marriage in 1872, the wife's maiden name is recoreded as MacQueen in one and MacQuien in the other.
Using the MacQuien connection there are 5 children:
Mary, Christina, Catherine, Alexander and Andrew. Born between 1873 and 1883.
Marriage records only start in 1855. There are a few church records
I have saved several searches with the intention of downloading electronic versions of the records, along with some Laing and Sinclair records. Something I haven't done yet. Electronic copies from ScotlandsPeople are not too expensive. These are the searches.
https://www.scotlandspeople.gov.uk/record-results/97812280766635fdca4787https://www.scotlandspeople.gov.uk/record-results/5518557466635f0f8a8cchttps://www.scotlandspeople.gov.uk/record-results/89836118366635c1c6a381I hope these work for you.
While I've been checking this information I have looked at the census records on ScotlandsPeople for Monk on North Uist. There are as many as 20+ in some years. But I haven't eplored any more than that. Marriage records only start in 1855. There are a few church records of births in the early 19th century.
I haven't done a DNA test, I have some reservations about them.
We've a few days holiday in North Uist planned for September, ferries permittingas they've had huge problems with breaking down old ones and an inability to build new, so may take some time to ask about family records held on the island.