This link gives a pretty good history and visual representation of the US airship fleet
USN Airships - Air Forces - WesWorld
Note that some of the entries in that website are hypothetical.
Non-rigid blimps reduced the cost of building markedly. Between the wars experiments were carried out for airships to carry up to four small fighters each for defence. Im unsure if these fighters were able to re-tether to the mother ship after launch.
The USN maintained a sizable fleet of rigid and non rigid dirigibles at various times in and before the war. The fact that they were the only nation to be able to produce helium in commercial quantities made this possible. Britain toyed with airships I think until the US ban was imposed on the overseas sale of helium I think in 1928.
Germany had the most advanced airship designs during the interwar years, culminating in the Hindenburg. The fateful decision to use Hydrogen because of the non availability of helium at least contributed to the disaster that followed. Hindenburg was designed as a helium filled craft initially. The loss of the Hindenburg was a heavy blow to the German Zeppelin program. But the company pressed such that by 1939 three were in existence, with another half sister to the Hindenburg under construction. But with war looming, the decision was taken by the german government to scrap all three craft and use the salvaged material for conventional aircraft production. This had already happed for the Hindenburg wreckage, which had been returned from Lakehurst some time in 1938. By November 1939, all three of the remaining Zeppelins had been scrapped.
The problem for Germany was threefold. Firstly the materials cost in construction of rigid designs, which they had favoured. Second, the vulnerability issue....there was simply nowhere for the Zeppelins to operate safely in the ETO. this even occurred in WWI. Thirdly the risks of the ground based structures and reserves made tham far too dangerous to operate. The Zppelin hangar, with the huge reserves of Hydrogen had been completely demolished by March 1940
A , and helium in place of hydrogen was more or less mandatory after the Hindenburg incident. Though I only have a vague knowledge of German Zeppelins in WWIIand use of H