Looking on the internet deeply has found these results:

my name is is the most popular phrase on the web.

my names are 19,790 results on the web	my name is 187,300,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
My Name Is.... My Names Are... This has caused serious arguments between me and friends couple of times so i decided to bring it to the house�... I think very many people make the mistake of saying "my names are" but i simply think a name can be compound but that doesn't make it plural. It could be a turn�... Oct 17, 2015 ... �My Names Are,� �Comity of States,� and Other �Ministerial Screening� Grammatical Murders. By Farooq Kperogi (PhD) \| Publish Date: Oct 17�... Jun 7, 2011 ... What is the correct introduction: "My name is James Mbugua" or "My names are James Mbugua"? UpdateCancel�...	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

my names are

19,790 results on the web

my name is

187,300,000 results on the web

More popular!

My Name Is.... My Names Are... This has caused serious arguments between me and friends couple of times so i decided to bring it to the house�...
I think very many people make the mistake of saying "my names are" but i simply think a name can be compound but that doesn't make it plural. It could be a turn�...
Oct 17, 2015 ... �My Names Are,� �Comity of States,� and Other �Ministerial Screening� Grammatical Murders. By Farooq Kperogi (PhD) | Publish Date: Oct 17�...
Jun 7, 2011 ... What is the correct introduction: "My name is James Mbugua" or "My names are James Mbugua"? UpdateCancel�...

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.