  Among log canonical surface singularities, the ones which have a rational
homology disk smoothing are the cyclic quotient singularities
$\frac{1}{n^2}(1,na-1)$ with gcd$(a,n)=1$, and three distinguished elliptic
quotient singularities. We show the existence of smoothable KSBA normal
surfaces with $\pi_1=1$, $p_g=0$, and $K^2=1,2$ for each of these three
singularities. We also give a list of new (and old) normal surface
singularities in smoothable KSBA surfaces for invariants $\pi_1=1$, $p_g=0$,
and $K^2=1,2,3,4$.
