More Mammillarias need a name..

Hi! Can You help me with the name of these Mammillarias?
This time I try:
1_M. vetula
2_M. spinosissima c. "un pico"
3_M. elongata (...but it seems with too long prickles..)

Thank you!

No, you are right. The M. vetula is ssp. gracilis, and is a clone of this, often called Arizona Snowcap.
I think you're good with Un Pico.
And the M. elongata, the spine length varies considerably, this sort of form is sometimes called elongata ssp. echinaria.

Great! Ok thanks!
I'm very interested in M. vetula as I have an old one quite different tha now after five years of intense bloomings is producing fruits; probably the var. humilis. As soon as possible I'll add the image to have your opinion.