It's hard but far from impossible, as evidenced by the fact that the vast majority of women in their 30s/40s aren't still living with their parents, single or otherwise.
I bought my own house 5 years ago aged 28 without a partner or any deposit from parents etc, at that point earning less than £25k, purely from working since I was 16 (including through school and uni), saving hard and living in pretty grim shared accommodation to be able to do so. Pretty much all of my friends had moved out by their late twenties at the latest - they afforded it through a mixture of things, e.g. one joined the army so didn't have student loans, a few worked in dubai etc for a few years where they could earn a lot of money quickly without paying tax, one or two bought proper do-er uppers and worked to do them up every evening and weekend after finishing their main job, others got second jobs etc.
I actually don't think there is anything wrong with living with your parents for as long as you want IF all parties are happy with it, but if you don't want to, most people could afford to move out if that was their priority, even if its to a shared flat or somewhere in the UK that's not as expensive, they just would have to either save up a bit beforehand or make some sacrifices.
Presumably your parents weren't charging you full rent, so if you've both worked full time since 18/21 then you've had 15/20 years to save some money - even on a low wage (my first full time job after graduating was only £14500 in 2012!), saving £100 a month would be £24k over 20 years, plus interest, in a H2B ISA you'd have over £30k.
So I agree with the pps, you sound smug but you both sound a bit drippy.