I'm too young to have remembered former Tiger and Astro pitcher Fred Gladding, whose final card during his playing career was in the 1973 Topps set- but from what I've read he was a pretty effective reliever over the course of his career. The '73 season also happened to be the final one of Fred's 13-year big league career.
Mr. Gladding got into coaching following his playing career and was the Tigers pitching coach from 1976-1978. Perhaps you've heard of one of his star pupils: Mark Fidrych? In all, Fred coached for twenty-two seasons.
A few interesting facts from his playing career:
Holds the Tigers team record for highest winning % in career (minimum 200 games pitched): .743
Led the NL in saves the first year it became an official stat (29 for Houston in 1968)
Lowest non-zero batting average (.016 / 1-63)
Player to be named later in the trade that sent Eddie Mathews from Houston to Detroit.
Sadly, Fred Gladding passed away last year (May 21, 2015) in Columbia, South Carolina. I did find one interview conducted with him back in 2012- which you can watch here: