Should I file taxes for my 10 year old daughter who earned $350?

They don’t make enough. It’s $12,000 per person. 

The only reason to report it it is if you want to get a jumpstart on their earnings. Your social security is based on the salary of your last 20 years so the earlier she starts, the more money she’ll get when she retires. 

If income tax was withheld you need to file to get a refund otherwise no need

Well sh*t!!  Your 10 year old and 8 year old combined earned more in one year than I ever did in a lifetime.

Under $400, so they don't have to file.

No.  That is not enough income to worry about.  Put it away for them when they turn 18, adding interest.

Probably not.  A person with under $400 of income for the year usually doesn't have to file.

No, don't bother, its not enough income that they would owe taxes.

i would ask a tax place this question