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A couple of things here.
Is this a "one man" (or woman for that matter) corporation?
Why did you buy the equipment for her or the company?
How much was the equipment?
Then I would file the complaint as follows - against her personally AND against the corporation.
That she personally told you buy the equipment on behalf of herself and/or the corporation.
That she had the apparent authority as an officer, owner, employee, and/or agent of the corporation to direct you to purchase the equipment for the corporation.
You are allowed to sue in the alternative. Let the her make her arguement about who you purchased it for.
However, if I had my druthers - I would want the judgment against her first and the corporation second.
You can state multiple causes of action in a complaint. For example - in extreme cases - 1) a breach of contract, and 2) a tort (a civil wrong).
In your case - she owes you either personally or the corporation owes you - it's one or the other.
I would want her to owe me because usually it's tougher to go after the corporation rather than her personally for the monies. You can go after the corporation for the monies though.
You can let matters go and proceed against her individually. If the case gets thrown out as against her - then you will have to file against the corporation.
I would try to alleviate having to file again against the corporation - and ask the judge to be able to amend the complaint to include the corporation also. That would save you from having to pay the costs twice.
The judge will allow you to do such given the circumstances/facts of your case.
The trial does not have to be postponed or anything - she couldn't or wouldn't be prejudiced in any way to now serve the corporation because she is already aware of the civil action.