According to the 1925 Directory for Motherwell, which is indexed by street, not surnames -
Janetta Place, Orchard St had 4 houses (so, probably a little sandstone tenement which must have been quite select and Orchard St was and still is, a beautiful street).
The householder of one of these houses (or apartments) was -
KING William D. Bank clerk.
In the 1925 Wishaw directory -
KING James D. Accountant, The Distiller's Co Ltd. 71 Glasgow Road.
Couldn't find Reith Cottage in the 1925 directory.
1925 for Motherwell House, High Road - Mrs Mary Scott or King.
In the 1911 Motherwell directory, which is more or less a list of householders -
KING Alexander C. Engineer. Motherwell House, High Road.
KING Mrs Janet. 85 Brandon St. (This may have been Brandon House, I'm not sure).
KING Thomas. Carriage Builder, 144 Orbiston St.
KING William. Writer, Archerfield, Douglas St.
Douglas St runs parallel to Orchard St and is also a lovely street. I think Archerfield is a Nursing Home now. A writer is a lawyer.