Is there anything omitted from this sentence?
"Someone to dry my tears" is fine on its own as it is a continuation of a list of things that moms do (from the program they are watching). However, you could also say the following: Ex: Moms are someone to dry my tears. Ex: A mom is someone to dry my tears. Ex: She's someone to dry my tears. The above all can be used in this context, however, "someone to dry my tears" still is the most natural phrase as it follows the speaking style of the program narrator.