In the Cloverfield franchise every film have Cloverfield in the title but what is the significance of "Cloverfield", In 10 Cloverfield Lane it was the address of that area but in first film I can't understand its significance. Am I missing something? Does this word have some significance for the franchise?
In and Out of Universe Answers:
It's the name or codename of the Government's case and the out of universe answer is that it's road/exit JJ Abrams takes to work at the Santa Monica office.
The film was initially named Cloverfield. This changed several times throughout production before it was decided that the original title would be used. Matt Reeves explained that the title was changed frequently due to the hype caused by the teaser trailer. "That excitement spread to such a degree that we suddenly couldn't use the name anymore. So we started using all these names like Slusho and Cheese. And people always found out what we were doing!" The director said that "Cloverfield" was the government's case designation for the events caused by the monster, comparing the titling to that of the Manhattan Project. "And it's not a project per se. It's the way that this case has been designated. That's why that is on the trailer, and it becomes clearer in the film. It's how they refer to this phenomenon [or] this case", said the director. The film's final title, Cloverfield, is the name of the exit Abrams takes to his Santa Monica office. In turn, the road used to lead to the Santa Monica Airport, which originally bore the name Clover Field.
One final title, Greyshot, was proposed before the movie was officially titled Cloverfield. The name Greyshot is taken from the archway that the two survivors take shelter under at the end of the movie. Director Reeves said that it was decided not to change the title to Greyshot because the film was already so well known as Cloverfield.
The film received a subtitle in Japan, where it was released as Cloverfield/Hakaisha (クローバーフィールド/HAKAISHA Kurōbāfīrudo/HAKAISHA). The subtitle "Destroyer" was chosen by Abrams and was translated into Japanese as Hakaisha (破壊者 lit. "Destroyer") by Paramount Japan at his request. The subtitle Kishin (鬼神 lit. "Demon[ic] God") was chosen for the manga spin-off, Cloverfield/Kishin, released exclusively in Japan. https://en.wikipedia.org/wiki/Cloverfield
In the first Cloverfield movie, it was the government/military code name for the "incident" involving other-dimensional aliens. Neutral-sounding code names are used by the military in real life. Examples: "Fat Man", "Little Boy", and "Tuskegee Experiment".
However, that doesn't explain why that specific name was chosen.