Newnes Engineer's Reference Book is more helpful than Machinery's. Gunmetal is a Bronze, of rather wide composition: up to 89% copper, 5-20% Tin, 0-20% Lead and 2-6% Zinc.
Some quotes:
'Bronzes are slightly improved by annealing but the treatment has limitations.'
'Gunmetal should be annealed at about 700C for half an hour.'
'Not all Bronzes are capable of being hot and cold worked. Hot work is, actually, seldom carried out on them.'
'Bronzes with 6% Tin or over should not be cold worked.'
Discouraging! All those who reported negative experiences straightening gunmetal knew what they were talking about!
Dave