Corrections on the info posted above:
Emily Biertumpfel married Emanuel Hepting, the brother of Lambert Hepting, Sr. They had a daughter, Alice Emily Hepting b. 1861 in Scotland.

Lambert's Children:

1. Katharina Muckle Hepting b. 1862 Stirling d. 1958 Victoria, British Columbia, Canada. She married Alexander Moir, M.D. in Edinburgh. Alexander d. 1898 in Edinburgh. Katharina emigrated to Canada with her 2 daughters: Winifred Jamieson Moir (m. Edward Iorwerth Jones) and Katharina Hepting Moir (m. Arthur Gray)

3. Mary Ferguson McLachlan Hepting b. 1866 Stirling d. 1963 Victoria. She never married.

4. Duncan Emanuel Hepting b. 1869 Stirling m. 1908 Medway, England to Clarice Helena Bryan. In 1911, Clarice is living with her parents in Chatham, Kent, England - listed as married. The next record I find is Duncan's will being probated, stating he died in 1915 in the Waterfall Sanatorium in New South Wales, Australia. I'm not sure if Duncan went to Australia specifically for treatment at the sanitorium, or if he went for other reasons and then ended up hospitalized. It appears they had no children. Clarice never remarried and died in 1946 in Kent, England.

5. Frederick William Lambert Hepting b. 1871 Stirling, still living in 1901 with his brother Duncan and sister Mary in Cathcart, Lanarkshire, Scotland. Any idea where he went from here?