Murdoch (Murdo) McBeath (MacBeth) 1811 Strathy to 1897 Reay

I am trying to extend this family tree for my daughter-in-law.

Murdo Macbeth married Barbara McKay in 1844 in Farr, Sutherland. He died at Brawlbin, Reay in 1897.

I am looking for confirmation of Murdo's parents, grand parents etc.

Murdo and Barbara had the following children: Robert and Donald (twins)1846, Johana (1848), John 1849, Alexander 1851, Christfer 1853, Barbara 1856.

If anyone has any information about the family I would be very grateful for it.

Thank you.