Suppose that you have a language $L$. I can show that theories like DLO, or any unstable theory for that matter, has Morley Rank $\infty$. I can also show that $REI_\alpha$ has Morley rank $\infty$, when $\alpha{\geq}{\omega}$ which I had initially thought to have Morley rank $\alpha$ regardless of the value of $\alpha$. I also know that the Morley rank is $<\infty$ when the theory is $\omega$-stable, at least when the language is countable.
My questions are:
1) Given $L$ is countable, what is a family of theories $T_{\alpha}$ such that the Morley rank of $T_\alpha$ is $\alpha$?
2) Assuming that that the answer to 1) is in the negative, is there an example, or a a family of examples if you remove the cardinality restrictions on $L$ (i.e. For each $\alpha$, a language $L_{\alpha}$ and a theory $T_{\alpha}$ s.t. the Morley rank of $T_{\alpha}$ is $\alpha$)?