All Genizah manuscripts are uploaded to the [Genizah][1] website (sign-up, for free, required) and can be viewed in the Cairo Genizah section. The portion of Midrash Chad Shenati quoted all over the internet is numbered **CUL: T-S C1** - CUL referring to the Cambridge collection. I'm not an expert on navigating the site, but from what I've seen, in the vicinity (i.e. no. C1.1, C1.2...C2, etc) of said numbered section there are other midrashic portions, so presumably these are the other parts of the midrash. Some manuscripts have been, perhaps even all, but I'm not sure.

Directions:

In the search engine, in choose library, choose the Cambridge CUL:

[![enter image description here][2]][2]

Next, in select collection, choose the T-S A-K:

[![enter image description here][3]][3]

Then, you may choose which set of manuscripts you want. For example, T-S C1:

[![enter image description here][4]][4]

Here you may select which portions of the set you want to view:

[![enter image description here][5]][5]

After selecting the texts you want, you can choose a command. For example, to view transcriptions, press Transcriptions. To view scans of the texts, press Images. And so forth.

[![enter image description here][6]][6]

Good luck!


  [1]: http://fjms.genizah.org
  [2]: https://i.sstatic.net/TSV2o.png
  [3]: https://i.sstatic.net/C14SW.png
  [4]: https://i.sstatic.net/YS63M.png
  [5]: https://i.sstatic.net/WdTnB.png
  [6]: https://i.sstatic.net/2z0Ip.png