What does the cryptic crossword clue "Travelling like men and woman from Battersea, maybe (10)" mean?

The wordplay uses an anagram. anagram of LIKE + MEN + AND = KENNELMAID The answer is KENNELMAID.

Travelling like men and woman from Battersea, maybe (10)

Times Cryptic #28253 | 22 Across | 2022-04-01 flower