I participated in a USDA study in the 70's regarding lacewings......
The description of the egg is on target, but the location and pattern tell me no way. Scientific name is chrysopa...cool insect...three varieties. I see them occasionally around the house. Good bug, the larvae eat the bad bugs......and each other.......they are mean mothers.....our project was to figure out how to apply them on crops as a biological alternative to chemical spraying for bad bugs......Not possible.....sadly.
But, that ain't them IMO.
@blackhorse77 nice research you did. I'm impressed.