I've recently been mining the old BattleTech games for their scripts (writing them up in BattleTech Track or Scenario format), and I've been doing some cross-referencing to determine dates.
One interesting thing is that, while some of the games give you a named character to command, others leave the player's identity a cypher, all the better to give the feeling of creating your own character and making your own impact on the universe.
That being said, there are some tie-ins that suggest the unnamed player characters in some of the MechWarrior games actually get named in some FASA and FanPro products.
MechWarrior 1: Gideon Braver Vandenburg
MechWarrior 2 - 31st Century Combat: None.
The scenarios take place all over the Refusal War theater, and involve different units on different worlds. The POV character clearly has to be shifting, throughout, and it goes without saying that the promotion to Khan at the end of the game isn't canon. You certainly aren't playing Phelan or Vlad, nor Marthe Pryde.
MechWarrior 2 - Mercenaries: Brady Riefer
You get to put in your own character name and unit name, and the dialogue draws on those names in the story segments. However, you do become Solaris VII champion for 3049. Interestingly, the Solaris VII boxed set has a list of Solaris VII champions, and gives "Brady Riefer" as the name of the 3049 champion. He doesn't recur in the list, so he doesn't appear to be a regular, and that would fit with him being a merc who responded to the Open Call gimmick for that season. His unit name is given as Team Venom at the start of the game (with the DropShip callsign "Venom One"), so that could be considered the official unit name.
MechWarrior 2 - Ghost Bear's Legacy: Xian Tseng
At the end of GBL, the player gets to compete for the Tseng Bloodname. Looking at the Invading Clans sourcebook, the game writers took pains to actually use named characters from the Ghost Bear Touman roster (though they spelled Kabrinski with a 'y', and went back to the 3025 TO&E for the names of Sword of Light commanders). Since the player character was definitely a ristar (if you go through the whole game, you kill about 150 enemies, compared to about 20-30 each for the other Bloodname contestants) and got the Tseng bloodname, they'd be a good candidate to get a Cluster command (especially since they have two Trials of Position during the GBL campaign). Looking at FM Warden Clans and FM Updates, there's only one Tseng that isn't ruled out - Xian Tseng of Rho Galaxy's 243rd Battle Cluster. Rho Galaxy was brought up from the homeworlds after Tukayyid, and it would be a good slot for a ristar to take a command.
(Other candidates - Laurie Tseng is the Loremaster, and far too old; Hunter Tseng is noted as having over ten years of command experience circa 3061, while the GBL player starts their career in 3058.)
For other games, the PC is clearly named, as in MW1:
MW3: Connor Sinclair
MW4 - Vengeance: Ian Dresari
MW4 - Black Knight: Eric McClair
MW4 - Mercenaries: "Spectre"
Your thoughts?