Is it bad if my mom comes to a conference with me? I am going to my first conference and my mom wants to join.  (She can probably get funding from her university to accompany me, even though she is in a different field.)  Will it reflect badly on me if we stick together?
You ask about "stick together". This is probably not an ideal idea. 

Generally, in a conference, you want freedom of action. Going with your mother may induce you to "talk to the known" person whenever you are unsure; i.e. you talk to her whenever you are not sure how to approach people - the notorious "escape route" - but this is exactly what conferences are not for. 

When I went to my first conference, I made a point to talk to as many people as I could. At the beginning, it is quite a leap of faith. But later you find, it is fun, you get to know people, and you get to know new research directions and ideas. Sometimes it feels difficult, but remember: all you people have one thing in common - the topic of the conference. You are very unlikely to go wrong starting a conversation about that. 

If you are unsure how to start, start with people which look like they are alone at the conference, and probably a bit lost. They will be grateful to get somebody to talk to; you may meet interesting colleagues (don't think that, because they are alone, they are not good scientists - good scientists may not be good at socialising), and notch up a good deed, to boot.

It is fine to take your mother to social events and the like, but I recommend that, if she joins the conference, say, because she is interested, that she stays mostly in the background and does not send signals of "supervision" to others or - even more importantly - to you. If you can keep that balance, then, by all means, bring her with you.