Which preposition to use with hardcastle

after Occurrences 1%

And the doctor bowed himself off, first politely inquiring of Mrs. Hardcastle after her husband's gout and her own dyspepsia.

at Occurrences 1%

"Well, Sam began to aspire, an' nothing would do for Lizzie but the Smythe school at Hardcastle at seven hundred dollars a year.

to Occurrences 1%

" "Dear soul!" muttered Dick Hardcastle to his crony, Jake.

Which preposition to use with  hardcastle