Star Trek USS NCC 1701 Enterprise Launch?

With Star Trek TAS noncanon in 1987 or 1988 it is hard to try to find a correct launch date for The Enterprise.


Assuming Captain James T. Kirk 5 year mission took place from 2265-2270
Star Trek TOS The Menagerie"

Spock served for 11 years, and since promoted to Fleet Captain). When the ship arrives, the commander of the starbase, Commodore Mendez which would mean that Captain Christopher Pike was The Captain from 2254-2265 of USS Enteprise 1701 and Fleet Captain of The Enteprse in 2265.

http://en.wikipedia.org/wiki/The_Menagerie_(Star_Trek:_The_Original_Series)


When Captain Christopher Pike was promoted to Fleet Captain in 2265 when think that Number One his first Officer to the next Captain of The USS Enteprise and the rest of his crew would have promoted one step in rank also.

As we all know they never show the Enteprise launched in Star Trek TOS and no launch date was ever shown or mentioned or who was the Captain of The Enteprise when it was launched.

When they showed Captain Christopher Pike as The Captain nobody ever says, Here comes our First Captain of The Enteprise or here comes our first Commander and Cheif.

The making of Star Trek states that Enteprise was launched in 2245.
This is never stated on screen or seen on screen also.

Could of there there would of been a Captain in 2245-2250 with the 4 year refit for sure when Captain Christopher Pike became Captain because what are the chances Enterprise stay the same from 2240' stayed the Same as Captain Pike and Captain James T. Kirk enteprise?

Is it safe to say that the Enteprise was launched in 2240's in Star Trek TOS without finding what Captain was before Captain Christopher Pike.