What's the difference between admiral and admiralship?

Admiral

Definition:

(n.) A naval officer of the highest rank; a naval officer of high rank, of which there are different grades. The chief gradations in rank are admiral, vice admiral, and rear admiral. The admiral is the commander in chief of a fleet or of fleets.
(n.) The ship which carries the admiral; also, the most considerable ship of a fleet.
(n.) A handsome butterfly (Pyrameis Atalanta) of Europe and America. The larva feeds on nettles.

Example Sentences:

(1) Hettinga can be admired, and his heart is in the right place.
(2) The Chinese model of development, which combines political repression and economic liberalism, has attracted numerous admirers in the developing world.
(3) But that promise was beginning to startle the markets, which admire Monti’s appetite for austerity and fear the free spending and anti-European views of some Italian politicians.
(4) Admirable, but will destroying ivory get that message through to poachers, ivory traffickers and the workshops in east Asia and elsewhere that buy smuggled raw ivory?
(5) I read somewhere that one of the actresses you admire is Charlize Theron and she's another great beauty who started out modelling but whose breakthrough role came when she uglied up [to play serial killer Aileen Wuornos in Monster ].
(6) Greatly admired Murdoch is certainly putting his money where his mouth is.
(7) Steve Bell on Jeremy Corbyn not singing the national anthem – cartoon Read more Admiral Lord West, former Labour security minister, said the decision not to sing the anthem was extraordinary.
(8) Trawling through the private telephone conversations of royals, politicians and celebrities in the hope of picking up scandalous gossip is not seen as legitimate news gathering and the techniques of entrapment which led to the recent Pakistani match-fixing scandal , although grudgingly admired in this particular case, are derided as manufacturing the news.
(9) You had to admire the party’s commitment to its Alan Partridge roots.
(10) While Claude Moraes MEP's committee on surveillance is admirably pursuing this agenda, member states remain unresponsive.
(11) No wonder celebrities all take selfies of themselves all day long, admiring and capturing their specialness for themselves.
(12) This is a team who have found their feet after that winless group section, a side who have already seen off the much admired Croatia and who can ruffle the feathers of the hosts or the reigning world champions.
(13) But somewhere along the way, his passion for good, fresh food – admirable and infectious in every respect – appears to have transformed into evangelical life-coaching.
(14) Admirably, Clinton kept her cool throughout, particularly Trump when spoke over her to call her “such a nasty woman”.
(15) When he had those Aids I went to my synagogue and I prayed for him.” Sterling said he admired Johnson, 53, as a “good” man, then contradicted himself.
(16) But it's still a neat model to watch – and admire.
(17) Again, he took a coasting, if not moribund, council department and turned it into an innovative, widely admired and emulated approach to social work (known as the "Hackney model").
(18) She insists she has no regrets about dedicating herself to the man millions admired but few really got to know.
(19) "I'm not going to suddenly stop admiring his unique comic talent because I've switched teams," Allen told the Guardian.
(20) David Puttnam, president of the Film Distributors' Association, said in a statement: "The report's clear message that everyone should have the opportunity to engage with film, and that watching, exploring, understanding and creating film is important for young people and the audience as a whole, is as admirable as it is welcome."