The Kenmuirs (various spellings) are an old Ulster-Scots family of Lisburn (Magheradrool) and Ballynahinch. Look at:
files.uswararchives.net
legacy.stacks.com
192.com/atoz/people/kenmuir/sarah
lisburn,com/books/first_lisburn/church_windows
In 1863 William Kenmuir leased a house & garden from David S.Ker
Henry Ken,muir listed in 1901 Census Lisburn born around 1853
Watches and long casr clocks by A. Kenmuir listed for sale on Google. al;so Civil War brass token by John Kenmuir.