Thank you for submitting your items for appraisal. This appears to be set of transfer printed stoneware vases produced by Royal Bonn / Franz Anton Mehlem Bonn. The design is called Louis XVI. The Company was built on the remains of the Poppelsdorf Fayence factory, which in turn was founded in 1755.
The vases in your possession were made around 1880-1900. Similar vases appear at auctions again and again. The estimate is based on auction results. "Asking Prices" in the trade can be higher and vary. There is no measurment for the sentimental value you might attach to it.