What this source establishes
Besse (Moumas typescript, pp.843–844), from the mission’s records, says the 1752 church was dedicated to the Holy Family, “just like the first” — de Britto’s chapel — so the Holy Family title runs continuous, not new in 1872. At its building, then, this was a Holy Family church. In copyright: quoted, not reproduced.
This is as much of the book as this site prints. It is named in full in the bibliography below.