Samson follows Goliath; A Panoramic

[Richard]

Hey 20_Hamilton_18,
Welcome to the site

I like the overall feel to this poem. However, my biggest suggestion would be to try to limit some of your wording in spots because it doesn't add much to what you're saying. I'll go into more detail below:

Samson follows Goliath;
       A Panoramic

 
She, just
resting her eyes,
leans her head
on my shoulder and
falls asleep
ever so quickly — -I would just say "quickly". The "ever so" isn't needed.
I try prodding
a gentle elbow
to the ribs
but she snores noisily -Drop the "noisily". The word "snores" implies noise by itself. 
turns over and dreams of
the ikat padding
tattered behind her... -This is a nice specific image. I just wonder if it's worth expanding on. I say this because it caught my interest, and I would like to know more as a reader.
Leaving me weary
but unsleeping -I know that "unsleeping" isn't a word, but I like it here. I'm a fan of when poets try to create new words.
don’t want to miss
our destination as
 Samson follows Goliath
climbing through fogged window
the sun rising at their backs
behemoths of the skyline- - I like this description here. I'm assuming Samson and Goliath are mountains, but is that their real names? If not, I feel like this comparison to Samson and Goliath needs to be explored more.
I’ve captured their likeness -Why not just say, "I've photographed them"? This line feels a little bit over wordy to me.
with every little trip,
she’s seen them before,
scrolling through
thumbed holiday snaps and
said time and time again -Need a comma at the end of this line.
“wud like t’s’em me sen” -Need a comma at the end of this line.
but come tomorrow
it’ll be back to
thumbed photographs
again. -I like this ending. It captures the overall feeling of the poem rather well. I wonder if this poem is really about Samson and Goliath or the speaker's relationship with their significant other, and would this be better reflected in the title by just naming the poem: "A Panoramic"? Just a thought.

Another idea I had as I reread this piece, was what would happen if you played around with the line length by combining some of the lines. I think that might be worth exploring. Overall, I think you have a nice first draft, and I look forward to seeing where you go from here with this poem.

Cheers,
Richard