brothers and sisters found: Marie Félicité born apr 9th 1858 constance Céleste & Constant Joseph b dec 8th 1865 Delphine b jul 15th 1863
The family seems to have moved from Chaux Lès Port after 1866 because no trace in population index (état nominatif) they could move to Port S saone (to be checked) this would explain the memory of your ancestor.
Go also on www.geneanet.org (just register free) some results for Tuaillon city= Chaux Lès Port (departement= 70)
This part of France didn't become ferman in 1871 but close to them.
I post another message for translation of parent's marriage viewed this morning.