The Constellation Class starship USS Stargazer in the episode The Battle had the hull number of NCC-2893. The display model in Picard's was a Constellation Class starship with the hull number of NCC-7100.
Are these two different starships, both named Stargazer?
In the episode The Battle, Picard said of the "Battle of Maxia"
We were traveling at warp two through the Maxia Zeta star system when this unidentified starship suddenly appeared and fired on us, point-blank range ... I was remembering being at the helm of the Stargazer. A maneuver was being made, we were hit. I did what any good helmsman would have done.
We were finished. On fire. We had to abandon ship. We limped through space in shuttlecraft for weeks before we were picked up.
At this point in time the Stargazer NCC-2893 is gone, Picard doesn't see it again for several years, after he is made Captain of the Enterprise Dee. Picard was commanding officer of the Stargazer NCC-2893 for a very brief period of time.
However, Picard tells occasional stories of his time as Captain of the Stargazer. Running from Cardassian starships, studying theda band emissions
In Relics, Picard told Scotty; The first ship I ever served aboard as Captain was called the Stargazer. It was an overworked, underpowered vessel, always on the verge of flying apart at the seams. In every measurable sense, my Enterprise is far superior. But there are times when I would give almost anything to command the Stargazer again.
I think what happen was after the first Stargazer was "lost" Starfleet named a second ship Stargazer, this is the ship that is depicted by the model in Picard's ready room, the one with the hull number of NCC-7100. Picard as at some point made captain of this vessel. This (and not the first ship) is "Picard's Stargazer," the one he tells stories about and remembers fondly.
Not being as noteworthy a vessel as the Enterprise, Starfleet didn't simply place a "A" after the name (Stargazer-A) and give it the same hull number.
The second Stargazer might have still been in existence when Picard assumed command of the Enterprise Dee.
In addition to the different hull number, it's been point out that there are slight surface and design differences (which I don't see) between the model in Picard's ready room, and the ship seen in The Battle.
And there's the hull color.
Does it make sense that there were two Stargazers?

Are these two different starships, both named Stargazer?
In the episode The Battle, Picard said of the "Battle of Maxia"
We were traveling at warp two through the Maxia Zeta star system when this unidentified starship suddenly appeared and fired on us, point-blank range ... I was remembering being at the helm of the Stargazer. A maneuver was being made, we were hit. I did what any good helmsman would have done.
We were finished. On fire. We had to abandon ship. We limped through space in shuttlecraft for weeks before we were picked up.
At this point in time the Stargazer NCC-2893 is gone, Picard doesn't see it again for several years, after he is made Captain of the Enterprise Dee. Picard was commanding officer of the Stargazer NCC-2893 for a very brief period of time.
However, Picard tells occasional stories of his time as Captain of the Stargazer. Running from Cardassian starships, studying theda band emissions
In Relics, Picard told Scotty; The first ship I ever served aboard as Captain was called the Stargazer. It was an overworked, underpowered vessel, always on the verge of flying apart at the seams. In every measurable sense, my Enterprise is far superior. But there are times when I would give almost anything to command the Stargazer again.
I think what happen was after the first Stargazer was "lost" Starfleet named a second ship Stargazer, this is the ship that is depicted by the model in Picard's ready room, the one with the hull number of NCC-7100. Picard as at some point made captain of this vessel. This (and not the first ship) is "Picard's Stargazer," the one he tells stories about and remembers fondly.
Not being as noteworthy a vessel as the Enterprise, Starfleet didn't simply place a "A" after the name (Stargazer-A) and give it the same hull number.
The second Stargazer might have still been in existence when Picard assumed command of the Enterprise Dee.
In addition to the different hull number, it's been point out that there are slight surface and design differences (which I don't see) between the model in Picard's ready room, and the ship seen in The Battle.
And there's the hull color.
Does it make sense that there were two Stargazers?
