For a truly 2004 flair, spell it “Taelor” or “Taylar” or some wacky way.
Teighlor?
(7 of the first 10 google hits on that name are for a 500-pound porn star. Meep.)
Planet of the Apes
I wanted to name our first (or maybe second, I forget) son Taylor. Husband protested given the uni-sex nature of the name. I still think it’s a cool name for either sex. 
It brings to mind the German analogue Schneider which happens to be my family name on my mom’s side. It has that je ne ce quois that says late 90’s early millenium to me, it dates the kid with a name. It has that vanilla, college graduate parents thingy, or something.
Trellis is a gardening tool? M-W disagrees and so do I. A trellis is a latticework for climbing plants and vines.(Also see arbor).
When I was a kid on the farm,there was a grape arbor(trellis) on the path from the house to the barn.At the right time of year I would grab a few grapes every time I passed under it.
But I agree with you on the name “Trellis”.It’s really a kind of “What,your name is what?” sort of name.
It says to me “Days of our Lives” etc
I knew a four year old Taylah (dyslexic parent perhaps?) and she was a brat.
My surname is Smith. Try that as a first name it might start a new trend. 
Oh God, no. No sirreee. Nope a lope. Boy, have you got it all wrong. I have this nutty friend who was contemplating such an act. Not me, though. No way. In fact, I’ve ended my friendship with this particular idiot. What a loser!
exits stage left
I just think of guitars first off. Taylor guitars.
After that, it’s a “Pat” name with no gender.
Well, I think of it as a girl’s name since it reminds me of Taylor Dane, the 1980s popular singer known for such hits as “Tell It To My Heart”, “I’ll Always Love You” and “Don’t Rush Me”.
YMMV, but it makes me giggle. 
It makes me think of mediocre wine. If I’m in an auditory mood then it makes me think of Warren Zevon.
Up until I read this thread, I always thought of it as a boy’s name. Heck, I went to elementary school with a guy named Taylor back in the sixties, although he was most often known as simply “Tay.”
But I’ll agree that in the past twenty years or so, the name Taylor seems to have become a feminine name.
Wonder how my old friend Tay is dealing with it?
The economically depressed city of Taylor, MI is usually referred to as Taylor-tucky, for what it’s worth. So my association is white trashy.
I do know one 8 yo named Taylor, but then her mother named her younger brothers Bragg and Brody. Yep, not Broderick, Brody. Wasn’t Grody Brody a garbage pail kid?
Better than his sister, Hoe.
Can I hijack this a moment?
What do you all thing of the name Henry?
To borrow a trick from a bad baby names site: which of the following two sentences, when filled in with the name you’re contemplating, sounds more natural?
“Ladies and gentlemen, the President of the United States, [name]!”
OR
“Ladies and gentlemen, right now on the main stage at the Lusty Beaver, the hot action of [name]!”
Strangely, it doesn’t remind her of her darling first cousin Taylor ;).
Me, it’s far from my favorite name, but it’s still a darn sight better than Madison.
Want a stylin’ child’s name? Vlad. Vlad all the way.
Daniel
Henry’s not a bad name, but every time I hear it, I’m reminded of that song that goes:
There’s a hole in the bucket,
Dear Liza, Dear Liza,
There’s a hole in the bucket,
Dear Liza, a hole.
Then fix it, Dear Henry,
Dear Henry, Dear Henry,
Then fix it, Dear Henry,
Dear Henry, fix it.
And on, and on, and on…
Here’s a link to the lyrics: There’s a hole in the bucket. In this case, Dear Henry’s none too bright.
Taylor sounds like the name of a boy getting beat up by a boy named Chuck.
For a girl, it sounds like someone who is destined to be stuck up.