The name on your tax return and the name on the W-2 do not have to match. Only the Social Security numbers have to be the same.
Did you file the tax using the name that is on on your current Social Security card? If so, then the IRS will not have an issue with your name or SS number.
After the tax return has been Accepted by the IRS (meaning only that they received the return) it will be in the Processing mode until the tax refund has been Approved and then an Issue Date will be available on the IRS website.
See this IRS website for federal tax refund FAQ's - https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions
Call us about your refund status only if Where's My Refund directs you to contact us.
Yes, I updated my name change with SS, but did not think to check my W2. How long will it take to process my return? Is there a standard under these circumstances? I have seen 9mos?!?