I've Got a Bad Feelyn' About This (2015)

I did the -leys a few months back, and I got a perverse urge to find all the -lyns as well.
So here they all are, alternate spellings combined (only the most popular is listed here), from most --> least common.

• Adalynn (≈15000 babies)
• Madelyn
• Evelyn (≈11000 babies)
• Brooklyn
• Kaitlyn
• Jocelyn (≈4700 babies)
• Kaelyn
• Raelynn
• Emmalyn
• Jaelynn
• Jacqueline
• Ashlyn (≈2000 babies)
• Braelynn
• Gracelyn
• Jazlyn
• Aylin
• Roselyn
• Rylan
• Dylan (≈1000 babies)
• Avalynn
• Marilyn
• Gwendolyn
• Helen
• Aislinn
• Taelyn
• Maelynn
• Carolyn
• Ellen (≈500 babies)
• Skylynn
• Angeline
• Fallon
• Shaelyn
• Jessalyn
• Aaralyn
• Daelyn
• Kylynn
• Sherlyn
• Annalynn (≈250 babies)
• Breelyn
• Jacelyn
• Emberlyn
• Azlynn 
• Jadelyn
• Magdalene
• Lakelyn
• Harlyn
• Haylen
• Irelynn
• Kimberlyn
• Brilynn
• Coralynn
• Scotlyn
• Zailynn
• Marlen
• Berlin
• Carlin
• Krislyn
• Courtlynn
• Locklyn
• Oaklynn
• Natalynn
• Makaylin
• Declyn (≈100 babies)
• Blakelyn
• Yaslin
• Lynn
• Kendalyn
• Amberlynn
• Arlyn
• Callan
• Kahlan
• Quinlan
• Brecklyn
• Kellyn
• Laelynn
• Jolynn
• Bailyn
• Kacelyn
• Pailynn
• Edelyn
• Weslyn
• Faelyn
• Kashlyn
• Joshlyn
• Keelyn
• Naydelin
• Allyn
• Jerilyn
• Faithlynn
• Everlyn
• Graelyn
• Brinlynn
• Breslin (≈50 babies)
• Hollyn
• Yeilin
• Christalyn
• Milynn
• Darlyn
• Collyn
• Andilyn
• Macklyn
• Hazelyn
• Paislynn
• Danilynn
• Nolan
• Hartlyn
• Tylynn
• Katilyn
• Jennalyn
• Deslyn
• Mialynn
• Novalynn
• Kathlyn
• Saralyn
• Starlynn
• Lauralyn
• Taralynn
• Lovelyn
• Joycelyn
• Timberlynn
• Devlyn (≈25 babies)
• Sharlyn
• Evangelyn
• Waylon
• Valen
• Merlin
• Copelyn
• Joplin
• Brycelynn
• Icelynn
• Joylynn
• Preslyn
• Macelyn
• Kenlynn
• Brittlynn
• Kaslynn
• Brenlynn
• Rocklyn
• Emerlyn
• Gracilyn
• Jakailyn
• Taitlyn
• Zeppelin
• Talon
• Tesslyn
• Hadalyn
• Brendalyn
• Summerlyn
• Emlyn
• Hadlyn
• Leelynn
• Noralyn
• Veralyn
• Aidalyn
• Brandalyn
• Mandolin
• Daralyn (≈10 babies)
• Adailyn
• Llewellyn
• Chaselyn
• Kinlyn
• Maizlyn
• Mazlyn
• Portlyn
• Brexlyn
• Chaslyn
• Eslyn
• Franklyn
• Janalyn
• Kamlyn
• Keslyn
• Karslyn (here and below 5 babies)
• Kirklyn
• Paitlyn
• Thailyn

Apparently I haven't been keeping track in previous years, but that's ≈175 -lyn names (in about 1205 "unique" spellings), comprising 5.3% of all new baby girls born last year.