Here are the TIELLE deaths (up to 1940) from the BDM online index :
1901 - Pierre - 74 years
1903 - Margaret - 77 years
[Archives New Zealand (Dunedin office) hold a probate record for TIELLE - Margaret - widow - of Orepuki : See the Archives NZ website for further details if you wish to purchase this ]
1902 - Peirre ? - 10 months
(Born 1901 - Pierre TIELLE - son of William and Norah) 1918 - William John - age not recorded
(WWI death - refer to later posting)1929 - Norah - 65 years
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Here's a link to Southland Cemeteries which you can search yourself (it's a bit slow I'm afraid). I tried to find TIELLE at the Orepuki cemetery, but there was no one of that name, so you might just have to go through the list till you find them.
http://cemeterysearch.southlanddc.govt.nz/Lu