The name of SKYLER isn't in the Bible.
Its a variant of Schuyler. The spelling was modified due to association with the name Tyler and the English word sky.
Schuyler is a Dutch surname meaning "scholar". Dutch settlers brought the surname to America, where it was subsequently adopted as a given name in honour of the American general and senator Philip Schuyler (1733-1804).
Tyler is an English surname meaning "tiler of roofs". The surname was borne by American president John Tyler (1790-1862).
For a list of biblical names and their meaning, refer to the following sources below:
www.biblestudytools.com
promiseed.com
www.christian-resources-today.com