Yes, it is Maurice Denham. Lola Tickle was the name of a character he played in the radio series ITMA. The Cavendish Three also appeared regularly on the show. From the review in The Gramophone May 1940:
"The Cavendish Three are joined by Maurice Denham (Funf of "Itma") as "Lola Tickle" in Eadie was a lady, which is good fun, backed by the second Memory Corner (My heart stood still, I'm forever blowing bubbles and The man I love) on Col. FB.2400."

The Cavendish Three comprised Kay Cavendish, Pat Rignold and Joy Worth (replaced by Dorothy Carless in 1939), and released five records in total (all in 1940):

Col. FB-2379 - released March 1940
Daisy Bell (In Swing)
Memory Corner [Say It With Music; Blue Skies; Whispering]

Col. FB-2400 - released April 1940
Eadie Was A Lady [w/ Maurice Denham]
Memory Corner No. 2 [My Heart Stood Still; I'm Forever Blowing Bubbles; The Man I Love]

Col. FB-2416 - released May 1940
I Gotta Robe
Southern Songs Medley [Carry Me Back To Old Virginny; When It's Sleepy Time Down South; Swanee River]

Col. FB-2456 - released July 1940
Paris To Piccadilly (A Medley of British and French tunes)
Memory Corner No. 3 [Blue Moon; Darktown Strutters Ball; Can't Help Lovin' That Man] [w/ Bruce Campbell]

Col. FB-2472 - released September 1940
The Last Rose Of Summer
Shakespeare In Rhythm

The group also provided a few vocal refrains on dance band records by Jay Wilbur and Scott Wood's Six Swingers. Kay Cavendish herself released a number of solo piano records and also one solo vocal record in 1949:

HMV B-9810 - released September 1949
0EA-14102-1 How It Lies, How It Lies, How It Lies
0EA-14103-1 Psychology
(recorded 15 July 1949)

Do you not think he 100% sounds female !!!!!