A payment receipt alone does not establish a pending Form I-140G petition. Compare the application record, any USCIS filing acknowledgement and the instructions you have received. If you only completed the initial fee step, confirm what remains through the official channel before describing the petition as filed.
What a paid fee does and does not put in motion
Think of three separate things: money moved, a filing made, a status granted. Payment moves money. A filing needs the documents USCIS asks for.
Status requires eligibility, admissibility and an available visa, and nothing about it is guaranteed by the payment or by the later qualifying gift, which serves as evidence of the specified benefit. Neither a pending case nor a paid fee authorises employment in the United States. Three parties would have to have acted for a petition to be pending, and you can check each one.
You would have submitted what was requested; USCIS would have received and acknowledged it; and a filing acknowledgement would exist as a document rather than as an impression. Look for that third item before describing the case as filed, because a payment confirmation is issued by a payment processor and says nothing about a petition. If only the fee step is complete, the next action is yours, and it is to ask the official channel what remains rather than to wait for a message that may not be due.