first of all I just want to say that Im not an expert at this area , just an interested guy who likes to learn a little about early bronze cannons .
but it all started with vase shaped cannons in the 1300 , no trunnions or dolphines.
below you will find a picture of the swedish loshult cannon , dated to very early 1300 and the morko cannon that is estimated to 1390 .
but the "morko cannon" is more of an hakebus then a cannon , the earliest attempt ever found in sweden to make a rifle .
later in the 1400 they changed shape and got an more cannon like look to our standards .
but still without dolphines and trunnions .
then they started to add forged iron lifting rings to cannons .
approximately early to mid 1400 they started to produce cannons with trunnions , its difficult to specify exact dates as that varied very much from place to place in the world .
cannons made of wrought iron didnt have any trunnions even if they was made much later because they didnt know how to attach them to the barrel in an easy and strong way .
usual lifting dolphines was common from early 1500 , but almost only on bronze cannons .
of course there are some cast iron cannons also with dolphines .
I dont knowwhy tho dolphines wasnt used on all cast iron cannons also , but could be because of one or both following reasons .
maybe the cast iron was to frgile and wasnt safe enough to use as a lifting point for heavy artillery .
all iron cannons was also much heavyer then similar bronze guns because of the lack of strength in cast iron compared to bronze
or maybe it was to difficult to produce them when using iron instead of bronze , I have no experiance of iron casting so I dont know, just another thought .
in the mid 1700 they started to change the production of the cannons and they was more and more becoming weapons only and not so much decorated and they lost their lifting dolphines also, but the exact time varied there also depending on where they was produced . for example the napoleon still got dolphines even if its produced almost in mid 1800 .
the placement of trunnions have never been in center or below the bore , it changed from foundry to foundry during times , but most common have been the below center trunnions to approximately 1780 when they seem to change their placement to the center of bore .
but there are samples of 1500 cannons with center placed trunnions as well as there are 1800 cannons with trunnions below centerline of bore .
so the dolphines are nothing more or less then a lifting handle to have an secured place to attach the ropes when handling heavy artillery barrels .
sorry about the low quality of the pictures but Im not at home and this is just some small picture I found on internet now for this post .