the short answer, yes it should lesserbee can make other lesserbees
lesser and spider sit on different loci, when snakes are getting their gene from the parent, they get an allele (morph) from each parent, from each locus. so the lesserbee can give the lesser gene and spider gene, because they sit on different loci.
an example of gene sitting on the same locus would be lesser and mojave, the lesse/xmojave Blue eye'd lucy can only give the lesser or mojave gene, it can't give both because they sit on the same loci and they can only give one allele (morph) from each loci
if your still confused, try this...
http://www.owalreptiles.com/articles/genetics.php