Here's a song that celebrates a woman joining the Navy, not to follow a man but just for her own adventure. My band Greenhouse recorded it on this album:

WHEN I WAS A FAIR MAID (trad.)

When I was but a fair maid, about seventeen
I listed in the Navy for to serve the queen
I listed in the Navy, a sailor lad to stand
For to hear the cannons rattling and the music so grand
And the music so grand, the music so grand
For to hear the cannons rattling and the music so grand

The officer that listed me was a tall and handsome man
He said, You'll make a sailor, so come along my man
My waist being tall and slender, my fingers long and thin
O very soon I learned me and I soon exceeded them
I soon exceeded them, I soon exceeded them
O very soon I learned me and I soon exceeded them

They sent me off to bed and they sent me off to bunk
To lie with a sailor I never was afraid
But taking off my blue coat it often made me smile
To think I was a sailor and a maiden all the while
A maiden all the while, a maiden all the while
For to think I was a sailor and a maiden all the while

They sent me off to London for to guard the Tower
And I'm sure I'd still be there `til my very dying hour
But a lady fell in love with me, I told her I was a maid
She went unto the captain and my secret she betrayed
My secret she betrayed, my secret she betrayed
She went unto the captain and my secret she betrayed

The captain he came up to me and he asked if this was so
I would not, I could not, I dared not say no
It's a pity we should lose you, such a sailor lad you made
It's a pity we should lose you, such a handsome young maid
You're a handsome young maid, a handsome young maid
It's a pity we should lose you, such a handsome young maid

So fare thee well, captain, you've been so kind to me
And likewise my shipmates, I'm sorry to part with thee
But if ever the Navy needs a lad, a sailor I remain
I'll put on my hat and feathers and I'll run the rigging again
I'll run the rigging again, I'll run the rigging again
I'll put on my hat and feathers and I'll run the rigging again

Cheers,
Michael