the name of the vs a name of the

Some examples from the web:

• And the name of the dog before this one.
• That's the name of the store.
• Maybe it's the name of the transportation company.
• They changed the name of the town.
• Dang Job is the name of the acupuncturist she was sleeping with.
• We need to know the name of the mortuary.
• While they haven't released the name of the police officer in question...
• We need the name of the buyer.
• Aria found out the name of the stables.
• I got the name of the coordinator.
• Confirm the name of the deceased passenger.
• Tell us the name of the candidate.
• And then I saw the name of the applying officer.
• He called the name of the ranch offensive.
• Let alone give us the name of the ship.
• We need to change the name of the campaign committee.
• Well, that's actually the name of the chapter.
• Blessed be the name of the Lord.
• I want people to not even know the name of the neighborhood.
• Well, you could leave out the name of the film.

Some examples from the web:

• Then will you accept a name of the Seeker?
• It's also a name of the teenage witch.
• And I did get a name of the man who last purchased it.
• But... I did get a name of the person who referred him to the hat shop.
• It's also a name of the teenage witch.
• "Fuking" is a name of the fish?
• Member States shall forward a name of the body or bodies referred to in the first subparagraph of this paragraph and in the second subparagraph of Article 2 (2) within two months of the date of entry into force of this Regulation.
• Velkopavlovická, followed or not by either a name of the wine-growing commune and/or the name of a vineyard estate
• Part A - name of the food
• (a) the names of the beneficiary organisations;
• You just... just pick a name out of the phone book.
• He had given a name to each of the Brothers.
• (a) the name of the investment firm;
• (a) the name of the spirit drink including the geographical indication;
• 4. In Annex II (I) (3) (A) the name of the species Brassica campestris ssp. oleifera shall be deleted.
• It's a name of honor given to the first-born daughter in each generation of our family.
• In the absence of such a name, the name of the food shall be its customary name, or, if there is no customary name or the customary name is not used, a descriptive name of the food shall be provided.
• In the absence of such a name, the name of the food shall be its customary name, or, if there is no customary name or the customary name is not used, a descriptive name of the food shall be provided.
• At the end of the night we will draw a name out of the top hat and one lucky guy will win a date with Cate.
• Set a name for a region of the spreadsheet