Type of breaker points
The "felt finger" was used on some brands of points to lube the rubbing block. You are supposed to, on points without that, put a tiny drop of hi temp grease on the "approach" side of the rubbing block
The illustration below would be correct for a CCW distributor such as Ford or a Mopar B/ RB. You want it on the opposite side for a slant or a Mopar SB
Don't forget that it could possibly be something wrong with the distributor, wear, etc.
Years ago you could actually buy lube for this purpose, and every good mechanic had a tube in his box