Let \(\mathbb {k}\) be an algebraically closed field, let \(\Lambda \) be a finite dimensional \(\mathbb {k}\)-algebra and let \(V\) be a \(\Lambda \)-module whose stable endomorphism ring is isomorphic to \(\mathbb {k}\). If \(\Lambda \) is self-injective then \(V\) has a universal deformation ring \(R(\Lambda ,V)\), which is a complete local commutative Noetherian \(\mathbb {k}\)-algebra with residue field \(\mathbb {k}\). Moreover, if \(\Lambda \) is also a Frobenius \(\mathbb {k}\)-algebra then \(R(\Lambda ,V)\) is stable under syzygies. We use these facts to determine the universal deformation rings of string \(\Lambda _{\bar{r}}\)-modules whose stable endomorphism rings are isomorphic to \(\mathbb {k}\) that belong to a component \({\mathfrak {C}}\) of the stable Auslander–Reiten quiver of \(\Lambda _{\bar{r}}\), where \(\Lambda _{\bar{r}}\) is a symmetric special biserial \(\mathbb {k}\)-algebra that has quiver with relations depending on the four parameters \( \bar{r}=(r_0,r_1,r_2,k)\) with \(r_0,r_1,r_2\ge 2\) and \(k\ge 1\), and where \({\mathfrak {C}}\) is either of type \({\mathbb {ZA}}_\infty ^\infty \) containing a module with endomorphism ring isomorphic to \(\mathbb {k}\) or a \(3\)-tube.