Screen spring pins

I have screens from 2003 and the manufacturer went bankrupt (Bonneville in 2009). I need replacement pins, but nothing matches the size pin I need.

 The inside screen frame hole is 3/16 inch wide, and the outside frame hole is 1/4 inch, or maybe 7/32. The problem is the inside (3/16) hole. 

The problem is that on current replacement pins, the shaft width of 1/8 inch width is to narrow for the 3/16 inside hole and the spring just slides through the hole. The spring on the shaft does not engage the frame, but rather just slides through the to big 3/16 hole. 

I am told 3/16 is obsolete. I can only find 1/8, which does not work. The 1/16 matters. I need either a wider shaft or at least a wider spring. Very frustrating over 1/16.

thank you for the advice. Looks like i will have to drill new holes and use new pins. Videos are helpful too. I think the slot in the window frame for the pin is long enough to have me move the new pin a little and still engage the frame slot with the new pin, even though it will be a little off center of the slot.