You are correct, in order to claim the expenses for a failed adoption, you do not need a name for the child when the adoption has not yet occurred. Enter Unknown for the first and last name, and an [approximate] intended birth date. The software will not require an ITIN/SSN.
Keep in mind that one year must pass after the incur the expenses are incurred, even if the child was not yet found. If you have paid the expenses in 2019, you can claim them on your 2020 tax return.
Here is IRS Topic No. 607, Adoption Credit
Please keep in mind, the credit applies to a US adoption.
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