graces, yes "my " could be seen as implying ownership, but I would still rather be introduced as "Phoenix, my wife" rather than "the wife"
The possessive pronoun can have it's place, do you refer to the son, the daughter etc?
Is it normal to talk to yourself?
Water shortages and hosepipe bans
Rupert Lowe and the “rowers” haha

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My husband does belong to a golf club but he never uses that sort of out dated termanology.