Transfering Title Deed - Should Solicitor Advise Cheapest Option?

[Peter]

I am an executor of an estate and am arranging the sale of the property with a conveyancing solicitor. However, in this case, a beneficiary of the estate (who has lived in the property for 40+ years) is buying the property from her siblings (the other beneficiaries).

Not knowing any better, the executors and the buyer have both chosen separate conveyancing solicitors and the process is ongoing.

However, having informally spoken to an estate agent, I have been told that we could have simply transferred the title deed and exchanged money. And a solicitor would charge in the region of a few hundred pounds for this.

Is this correct?
And should either solicitor have informed us of this possibility at the start?

Thanks, Peter

BTW: The buyer has all the funds available, and no mortgage is required. The sale price is at market value - less her share as a beneficiary.