Surprisingly, the 13 episodes were spread over two seasons.
After the first, they tried to rebrand it by having her divorce the Lieutenant, changing her surname to Callahan and renaming the show Kate the Detective. This didn't help so they changed the name again mid-season, to Kate Loves A Mystery. In one of the three episodes under this name she says her ex-husband was called Philip.
Which I knew long ago, having seen an episode that's included bin my Columbo box set. What I didn't know until today was that in 1984 an encyclopedia compiler sued the US Who Wants To Be A Millionaire for including a 'false fact' he had inserted into one of his books as a guard against plagiarism. He claimed that Lieutenant Columbo's first name was..... Philip.
(It was actually Frank)