The 630/625 were based on the Husky 162se/61.
The 2063 and 2163 are basically the same saws as the Husky 362xp and 362xp Special, which are small bore versions of the 371xp introduced late 1995 (or so). They were not a development of the 625 etc, but a completely new design.
I believe the 2063 came out about 1997/98, at the same time as the 362xp.
If you post the serial number of your saw, it should be possible to figure out when it was made.
There was no Jonsereds that was based on the Husky 262xp - that one is a smaller and lighter saw, that also has a bit more power output than the others mentioned here.
All the Jonsered saws mentioned here were made on the Husky factory.