just to add to the possibilities confusion, she may have more than one stage name. I have a distant twig who had 5 in the early 20th century. And if she married her husband may have been an actor and he may have had various pseudonyms too!
Added, I’ve just seen this.
http://www.rootschat.com/forum/index.php?topic=779377.0Added 1911 has Alice Pike's birth pace as Durrington, Wiltshire not Daglingworth, Gloucestershire
added some more
Zita Inez PONDER married Edward R CARTER 1934 Westminster 1a 1224 Dec qtr
If that is the same woman she died as Zita I. R. CARTER in 1936 and age is 35 which gives a calculated dob of 1901 which is 17 years out compared with 1884.
Her marriage certificate would presumably give the correct PIKE name for her father if that is Alice and she is REALLY guilding the lily regarding her age??
More
Zita Inez PONDER wrote a book published in 1927, The Bandaged Face, an authors site online says she was born Inez Marcia R PONDER 1900-1936
so I think safe to say Alice PIKE is not Zita Inez PONDER
http://www.philsp.com/homeville/sfi/s1333.htm