  We investigate spt-crank-type functions arising from Bailey pairs. We recall
four spt-type functions corresponding to the Bailey pairs $A1$, $A3$, $A5$, and
$A7$ of Slater and given four new spt-type functions corresponding to Bailey
pairs $C1$, $C5$, $E2$, and $E4$. Each of these functions can be thought of as
a count on the number of appearances of the smallest part in certain integer
partitions. We prove simple Ramanujan type congruences for these functions that
are explained by a spt-crank-type function. The spt-crank-type functions are
two variable $q$-series determined by a Bailey pair, that when $z=1$ reduce to
the spt-type functions. We find the spt-crank-type functions to have
interesting representations as either infinite products or as Hecke-Rogers-type
double series. These series reduce nicely when $z$ is a certain root of unity
and allow us to deduce the congruences. Additionally we find dissections when
$z$ is a certain root of unity to give another proof of the congruences. Our
double sum and product formulas require Bailey's Lemma and conjugate Bailey
pairs. Our dissection formulas follow from Bailey's Lemma and dissections of
known ranks and cranks.
