Very nice summary!Maybe it should be stated that the term "aether frame" wasn't well defined at this time period:
1) Fresnel in 1818 proposed an aether almost completely at rest, as necessary to explain the aberration of light. Here, light is a transverse wave in the aether. However, he had do include "partial aether dragging" to explain the negative outcome of the Arago experiment. So the speed of light is constant in vacuum, but variable within matter in accordance with Fresnel's dragging coefficient (later confirmed in the Fizeau experiment in 1851).
2) Stokes (1844) proposed that the aether is completely dragged by Earth. He had to invent certain auxiliary hypothesis to derive Fresnel's dragging coefficient and the aberration of light (which wasn't very convincing).
3) Maxwell (1865) derived his equations (actually twenty of them). But he made no comment on the state of motion of the luminiferous aether in matter or its vicinity. Later (shortly before his death) he argued that if there is an aether wind, then it is of second order in v/c when two-way measurements were made. (See Maxwell's own Ether entry in the encyclopedia britannica, section "Relative motion of the aether", 1878).
Encyclopædia Britannica, Ninth Edition/Ether.
4) Michelson (1881) and Michelson&Morly (1887) followed Maxwell's suggestion and executed their famous second order experiment - no aether wind was found. A contradicting situation arose: The Fizeau experiment and the aberration of light "proved" an almost resting aether, while the Michelson-Morley experiment seemed to imply complete aether dragging.
5) Heaviside and Hertz (1890) brought Maxwell's (now four) equations into their modern form - but Hertz believed in complete aether dragging (even though Hertz knew that this was at variance with the Fizeau experiment).
6) Lorentz was the first (1892 and 1895) to argue that the aether is completely motionless and thus totally unaffected by the motion of matter. Now we can talk about one (and only one) "aether frame", in which the speed of light is the same in all directions. To avoid "aether wind" effects, he (together with Larmor and Poincaré) had to include "local time" and "length contraction", and later the complete Lorentz transformation (1904).
7) Einstein used the Maxwell-Lorentz theory of 1895, in which the speed of light was constant in only one frame. Per the relativity principle, he argued that this constancy and Maxwell's equations must apply to all reference frames, none of them should be called "aether" any more. Special relativity was born.