State that X person (usually a Member, Manager or Officer, but not always) is authorized, in that capacity, to execute all documents and instruments necessary to effectuate acquisitions/transfers of properties in which the LLC is engaging or involved.

Just do a transfer and do not take any liability under your personal ownership. 

And this is usually (if not always) structured not as a sale but as a transfer that is exempt from transfer and recordation taxes pursuant to local law.Keep the mortgage current during the flip and pay the other heir (and the mortgagee) from the eventual sales proceeds.

You simply transfer money out of your business account into your personal joint account (or your separate accounts if you keep your money separate) - anytime and in any amounts.

My question is what is the process to transfer the property from her name to my LLC?

@William Whigham gotta have an owner sign a deed to transfer title.

You may have to close in your personal name then transfer into your best entity. 

not sure where you are located but in Texas if there is an active lease it would transfer to new owner.

Meaning - can you transfer funds directly from a bank account that is tied to an LLC to your own personal account without penalty to the LLC?

How easy is it to transfer the house I do have to the LLC?