Hi Rosemary
It's nice to find someone researching the same side of the Pulhams as me. I don't kow Annie's birth date sadly - I wish I could help you, I haven't probably got as far back as you with the Pulham's as I have been concentrating much more on Ada's Acock family side. I think I have Ada's birth, it would seem that her parents and one of the parents from her husband (Alfred's) side were brothers or cousins. Bizarre how they stayed within the same family. For awhile Charles Pulham (Ada's dad) lived with them (Ada and Alfred), but I am not sure if Charles is Ada's real father. I think he is, but something was thrown into the mix where I couldn't work it out. I know that Charles and his wife were not married at the time she was born. Any help you can give would be most welcome on Ada, and also if I can help with any of the others I will. I will also scout around for Annie for you to see if I can find anything in my records what I have from them at home.
Best wishes, Sarah