Top tube length and handlebar position also play a roll.
when I was young and 5'-7"
I bought a 59 ctt framed bike, everyone thought I would grow... I did but not eneough.
I sold it off for. 56 cm ctt frame when I was 5'-9". I gained some height but gravity struck back. I still have that 56cm bike but truthfully it is now a tad long.

if I wanted my bars level with the saddle a 58-59 cm would work.

but most often those bikes have a top tube too long.

I am not discussing seat tube angle or as some note "setback".

I think the Dawes is on the middle- longer side.
a 22.5" top tube might be what it has, if so, can be made to work with a shorter stem.

consider what you need and go from there.
Dawes I think went 19, 21, 23... maybe even add a 1/2" to each size.
Sometimes even the 21" frames had long top tubes... easier to avoid toe clip overlap.