She does indeed have gorgeous markings! Lovely stripes and some beautiful leopard like spots over her haunches.
I'm thinking Tiggi, something from tiger because of her her lovely stripes and how she blends so nicely with your fleece in the photos. Tigger seems a little boyish and bouncy but lots of fun. Tiggi sounds a bit cheekier to me.
I think she likes her belly kissed and cuddled! Loving those spots, she reminds me so much of my previous kitty, Pal. I had her from 9 weeks to just before her 22nd birthday and she was a broken mackeral striped tabby with a seriously spotty, fluffy belly.
She was a fantastic jumper and climber as a youngster (though suffered with arthritis later in life), funny and sweet but your girl sounds much more cuddly - lucky you! I took my 2 tabby girls' names from the Latin names for leopards because they were more spotted and striped - especially Pal's sister who was a little ball of fur spots as a kitten. I like Ty too.
Here is an article about different tabby coat patterns. The striped tabby is also known as mackeral, or broken mackeral if the stripes are broken. From your pictures I am not sure which your little one is but perhaps the following article will help you decide: