No, Doug, the area south and east of Newkirk Avenue station is known as Fiske Terrace, as was the Avenue H station for a few years.
A few before and after (grade crossing elimination) Brighton names:
Cortelyou Road was Avenue C.
Newkirk Avenue was South Midwood.
Avenue J was Manhattan Terrace.
Avenue M was Elm Avenue (different street) and before that, South Greenfield.
Just for the record, there was a station sign at Albemarle Road for Prospect Park South for a few years before the elimination, but I don't think the trains ever made regular stops there.