Get your taxes done using TurboTax

Well, if you filed a tax return and requested direct deposit from the IRS, you won't get any more confirmation from Turbotax.  

The first step is that your return is accepted or rejected by the IRS, and you will get notice from turbotax about that.  If it is accepted, you won't get any further notice from turbotax.  You can use the IRS "where's my refund" web site to check your refund status, but your return won't be listed until at least 48 hours after your return is accepted.  https://www.irs.gov/refunds

However, your mother's bank account may reject a direct deposit for someone who is not one of the account holders.  If the bank rejects the deposit, the IRS will mail a check but that take an extra 4 weeks.  You may want to have your mother ask the bank about their direct deposit rules.