One topic that mohels sometimes get involved in is helping the new parents come up with a name for the baby. This happens most often with people who are not in the Orthodox community, who might be looking to choose a name they like (they just need help with options and the meanings of names), or who might be looking to match an English name they've chosen to a Hebrew name, either in its meaning, in how it sounds, or by finding a name that has a same-sounding first consonant or vowel.
Many people name a child after a deceased relative (Ashkenazic community) or a living relative (Sefardic community). Others pick other criteria, especially if they feel the deceased have been adequately memorialized in the larger family.
Who gets to choose the baby's name? The baby's parents.