I much prefer
Lorelei to Lorelai. I like Gilmore Girls as much as the next girl, but I prefer the traditional spelling. People will know how to pronounce it. I don't think changing one letter would be an "homage" to someone; I think Lorelai would just seem like you're naming her after the character on the show.
Lorelei,
Collin, and
Charlotte is a cute sibset too imo.