does she like your hammock or does she want a skeeter net?
"double wide" hammocks are 54-72" wide instead of 38" for a "single" -- and are MUCH easier to lay diagonal on for a "flatter lay"
it's hard to beat the price on the one I loaned you. (which appears to be a clone of my $70 Trek Lite double)
if she wants a skeeter net, Byers of Maine makes a low end "double wide" with net for about $55 rated for 250 pounds, Grand Trunk makes one for $60-70 rated for 300 pounds or so (skeeter beeeter pro).
I like Camp Nano carabiners - and use them to replace the factory hooks. a 6-pack should run less than $40.
I make my tree straps out of 2" wide seat belt webbing from the surplus store. 15' is enough for 2 straps with 4" loops on each end.
1000 pound rated 1" wide poly webbing works well for straps going from hammock to tree strap if you need it. (i like the 12' long "lashing straps" from HF or 6.5' long 1200 pound rated cinch straps when weight and space are not a huge concern.)
poly webbing doesn't stretch signifcantly under load, nylon can stretch up to 40% of its length.
amsteel blue is good stuff for whoopie slings when weight and space are a permium. lash-it is good stuff for ridge lines.
Etowah makes a good tarp -- I use the 10x12 for all season camping as it allows me to "close in" the ends in the winter or in strong storms, it's long enough to cover the entire hammock, and I can raise one side up to use as a porch awning in warm, dry weather.