of one’s own—said of smth. belonging to a person:
- The eldest boy Charles was of an age to be flying off and building a nest of his own.
on one’s own—
1. relying on one’s own effort, ability, etc.:
- Muller was on his own in a strange town, in a foreign land.
2. alone; by oneself:
- They would eat in the kitchen; they seldom used the dining room when they were on their own.