Black

Had Bella married Jacob, her name would have been Isabella Black.

Mason

Swann

Had Edward taken Bella’s surname, he would have been Edward Swan.

Cullon

In my family, the Cullon/s family are intermarried with the Black family.

Hale and Smythe

The Hale family is related to the Smythe family in my ancestry. 

Eliza Clearwater’s maiden name in Twilight is Smythe. Rosalie’s surname in Twilight is Hale. 

Tanner

The Tanner family is related to the Swan family in my genealogy.

Bree Tanner is a character in the Twilight universe. 

And Edythe Cullen is a character in Twilight who happens to be engaged to Beau Swan.

Below are ancestors of mine with some name similarities.