The accounting needs to be sent within 14 days (law has not changed recently). Your lease would have specifics regarding what is a fee (never refundable) and what is a deposit (up to completely refundable). A damage & security deposit could be used to cover move-out cleaning to get to a move-in condition. I suspect that the new landlord wants to work with you if she is willing to gift any non-refundable cleaning fee back to you.
When the property changes hands the landlord is required by law to let you know the basics - where your deposit is being held. This may not be relevant if you go to small-claims court as it doesn’t seem material. Updating bank accounts, landlord contact information, and where to send rent checks is generally done without a new lease.
If your original lease contains the condition report, then that is what would be used to determine how much of the deposit to refund. No new condition report would be needed due to change in owners.
If there was no condition report done upon move-in, then you should ask for all your money back immediately without delay, this is a no-brainer in court.
I hope you have pictures of both move-in and move-out to bolster your defense that you complied with the current owner's directions to clean (keep the original receipts from the cleaners).
I would keep on calling to see what can be done to reach an agreement with her to get as much deposit back as possible. This is your best bet and you don't need to make an enemy. She had been willing to work with you, pointing out what to do in order to get your deposit back. BTW, it's reasonable to ask you to clean the stove & to move the appliances to clean underneath, or to charge you for that if you do not - unless your condition report records it was dirty when you moved in.
Lastly, if your apartment is located within the city of Seattle, the landlord is required by law to provide an attachment to the lease and get your acknowledgement - the city requires an "Information for Tenants Summary of Landlord/Tenant Law". Check this pamphlet, and the state laws referenced in it, when you go over your lease. You may want to consult a lawyer if there’s language you don’t understand.
http://www.seattle.gov/dpd/stellent/groups/pan/@pan/@publication/documents/web_informational/dpdp_018328.pdf/dpdp_018328.pdf
Failure to give you the summary is a basis to sue. “Lastly, landlords are required to give current and new renters this publication about Seattle and Washington state laws. Tenants can recover actual damages, legal costs and penalties through private civil action against landlords who violate this law.”
If you do not have the summary and it is not mentioned you received it in the lease, then save this to hold over the landlord's head if she starts acting unreasonably - and nothing that you've mentioned sounds terribly unreasonable - and threaten to sue, then follow up. Otherwise swallow hard, get your non-refundable cleaning fee gifted back to you, and get as much as possible of your deposit back.