Sorry for not replying sooner - I was on a night shift last night, sleeping this morning, and I also think I'm coming down with a cold
.
You should send:
- current US passport
- any previous US passports if you have renewed them since arriving in the UK
- any other passports you have used to travel to the UK in the last 5 years
The guidance on the application form states:
You should provide all previous passports, travel documents or national identity cards that you have used
to travel to or remain in the UK.
Now, for other visas (fiance/spousal etc.), you have to provide ALL passports you have ever held, from any country, but the SET(M) form is a little ambiguous as it mentions passports you have used to travel to or remain in the UK, and not all passports.
So I'm not sure if you're supposed to include the Mexican passport or not.