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One of the green lacewings, maybe Chrysopa or Pseudomallada, though additional angles can help in separating these two genera.
One of the species of Dasymutilla, but not D. occidentalis (which is an eastern species and doesn't occur in California). There are 3 species with very similar appearances as a part of a larger Müllerian mimicry ring: D. aureola, D. californica, and D. coccineohirta. The head may not be broader than the thorax, so that may be more suggestive of the latter 2.
V. fallax texana shouldn't occur this far east.
Antennae are more slender and thread-like. This group is very easy to confuse for the related antlions and is rather understudied in comparison. Very cool find!
Not Glenurus, noting the lack of white at the wingtips. Mottled wings and hairy forelegs align better with Vella.
I'll second that mayflies definitely are not antlions, though that common name gets tossed around quite a bit. In Texas, it's common for crane flies (Tipulomorpha) to be called "mayflies" for some reason. This genus is often noted as picture-winged antlions for their stunning wings, easily the most unique in North America.
So lucky! This is a beautiful genus and probably among the most distinct antlion groups.
Yes, indeed! Beautiful species.
Chrysoperla also won't have any brownish markings until winter. This compares to Chrysopa quadripunctata (which occurs in the US) or allied, though I'm not certain how far south true C. quadripunctata ranges.
Nodita is currently understood as a subgenus of Leucochrysa.