Beatriz Lopez de Ayala

HI everyone,
This is a repost from a few weeks ago.
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I’m currently researching Beatriz Lopez de Ayala, historical figure of Colima among other states who was married at one time to Alonso De Arevalo. She sailed from Sevilla in 1518 (18 yo) and landed in New Spain 1535 with Antonio De Mendoza, the first Virrey of New Spain. Her parents were Pedro de Lopez Ayala and Teresa Recalde.

Has anyone researched her family back in Spain? According to the Colima website, she was from Sevilla. Her fathers name was Pedro Lopez de Ayala and I am wondering if she is connected to the noble house of Lopez de Ayala. I ask this second question as Beatriz stated she traveled with Virrey Mendoza (Antonio de Mendoza) to new Spain and his father, The Marques de Santillana, a poet, was part of the same circle as the noble house of Lopez de Ayala’s including "Pedro Lopez de Ayala" (another one) who was a prominent poet, historian etc. at the time.

Please let me know if anyone has any light to her origin.
Also how could she travel alone at 18 on a ship to New Spain without family?
Any help appreciated,
Pauline

Sources:
http://sceh.blogspot.com/2010/04/terratenientas-de-colima-en-el-siglo.html

https://es.wikipedia.org/wiki/Marqu%C3%A9s_de_Santillana
https://es.wikipedia.org/wiki/Pedro_L%C3%B3pez_de_Ayala