I stumbled across this list of names.
http://www.npr.org/templates/story/story.php?storyId=4706965
That was an interesting article, pointing up some names I had since sent to the background of my brain.
This one I remember:
Hamilton Fish IV -- son of retiring Rep. Hamilton Fish (R-NY); lost general election 1994 running as a Democrat
The Fish family had been stalwarts in Congress going back well over 160 years ago. Fish III's father had served in the Congress at the time FDR was President (representing his Hyde Park district) and was no fan of his. He lived until 1991 (just short of 103 years old). The family sort of eroded away from its Conservative roots, and Fish, III was a bit of a RINO (G. Gordon Liddy nearly upended him as a Conservative challenger before his career started, before his Nixon days). Fish the IVth was of an entirely different stripe. He was not a Republican, he was an extremely rabid anti-Zionist leftist and former publisher of "The Nation." I think Fish III tried to perhaps persuade his son that if he wanted to end up in Congress to switch to the GOP and moderate his views, but that was never going to happen. I'm not even sure he was backing his son by the general, and was probably relieved to see his seat go to its current occupant, Sue Kelly, who was more his ideological heir.
Good to see that the "Political Junkie" is on NPR. I used to read his column on WashingtonPost.com.
The other children whe mentioned who failed to follow their father's footsteps in the House were mostly candidates who were running in other districts or were running years after their father retired or died.
When Walter Jones, Jr. ran for the House after his father announced hir retirement, he wasn't really running in his father's district, since he ran in the new 57%-black district that took in black areas throughout eastern NC created in 1992 redistricting (he lost in the run-off to a black candidate, but switched to the GOP soon thereafter and won an adjoining district in 1994).