Looked for Thomas Lindsay between 1925 and 05/02/1939 (cutoff date)
Looked for William, same time frame:
You don't say if it is James last name Alexander or James Alexander last name Lindsay. You can try searching yourself: https://www.bdmhistoricalrecords.dia.govt.nz/Search/Search?Path=%2FqueryEntry.m%3Ftype%3Dmarriages