I think you want to brown, braise the parts of the birds... Doves, breast them... Don't fully cook... I would make a bunch of gravy in the drippings... Pack the jars with meat and gravy...
Freshly killed, soak in 1 TBS kosher salt per quart of water.. for 1 hour.... rinse, do not soak.. You won't need to add salt to the jars if you do that...
Hot pack the birds in the canner jars after browning and about 2/3 cooked... Fill the jars with meat leaving 1 1/4" headspace.. Fill the jars to 1 1/4" from the top with stock if you are short on gravy.....
11#'s pressure on the gauge or 10#'s on the jiggle weight...
Without bones
pts 75 minutes
qts 90
With bones
pts 65 minutes
qts 75
You know to let the canner escape steam during preheat to remove air in the canner and jars... let steam escape for probably 15 minutes until it is total steam with no 'clear' air escaping from the vent... as the steam escapes, it will condense in the atmosphere and form a steam fog.... When air escapes, you will see nothing but air... I can't see air but maybe you can....
You do not want to crank down tight on the jar bands... finger tip barely snug, so air can excape from the jars..