I've pretty much always referred to myself as their owners. Sometimes I joke around and call my mum Seamus' grandma just to annoy her (she says it makes her feel old
). Sally is the family dog and we got her when I was eight so it'd be sort of weird if I referred to myself as her mum, lol.
When I started working at the dog daycare I thought it was kind of weird when we referred to people as 'Lucky's mum' and so on. I tried to resist for a long time and just call them the owners .. But now I've just gotten used to it.