Bingo Kees, very clever, thanks

The steamer with the yellow funnel right in the middle of the photograph is not a British ship at all. The ship is the Bavaria (3898 GRT, 4740 DWT), built in 1905 as yard no. 417 by the Reiherstiegwerft of Hamburg for the Centeal-America service of the Hamburg-Amerikanische Packetfahrt A.G. (Hamburg-America Line/HAPAG. In 1917 she was taken over by the Cuban Govt. without change of name. In 1920 sold to Calixto Garcia of Havana and renamed Calixto Garcia. 1923 sold to Boening & co., Bremen and renamed Lotte. 1928 sold to Globus Rhederei, Bremen and renamed Gernis 1934 broken up. She is an almost exact sister of the Dania (also HAPAG-owned), but minor details like position of the 4th lifeboat, which is placed a littele bit higher on the deck than the other lifeboats, clearly shows she is the Bavaria.
Regards,
Kees

Ships in the background against the pier to the right have Mexican Gulf Co.Ltd. painted on the side of the hull.

If anyone could identify the warship that would be very nice too

Between 1910-1924

You may well be right, the the different angles of the photos affect the perception of, for example, the length of the foc's'l.

@Juergen: note that the so-called photos of SEGURA and CARMARTHENSHIRE are the same photo

@Chris: does your family history narrow the dates at all?

Very similar to the ships mentioned but this one has a long foc'sle with a pair of posts at the after end of it and the centre castle does not extend forward of the bridge.

This is SEGURA
http://www.photoship.co.uk/JAlbum%20Ships/Old%20Ships%20S/slides/Segura-01.jpg

This is CARMARTHENSHIRE (SABOR, GAUL)
http://www.photoship.co.uk/JAlbum%20Ships/Old%20Ships%20C/slides/Carmarthenshire-01.jpg

Rgds. Juergen

Thank you for your efforts David, it certainly looks similar but there are differences especially the stern section and also there are more masts and cranes on this vessel !, maybe it is another Harland & Wolf built ship?
I checked but did not succeed yet.
Cheers
Chris

I assume that you are referring to the black-hulled passenger-cargo liner.

My feeling that this is one of the Royal Mail Line sisters SEGURA (ex-GREEK) and SABOR (ex-GAUL), built 1893 by Harland & Wolff for Union Line's intermediate South African service; they were purched by RML in 1906 for a new Southampton-Cuba-Mexico service. However in 1908 they were transferred to the newly acquired JV Shire Line and became PEMBROKESHIRE and CARMARTHENSHIRE respectively in different colours. The pair came back to RML in 1913 for the Canada-West Indies as CHIGNECTO and CHALEUR (and were joined by their two other sisters COBEQUID ex-GOTH and CARAQUET ex-GUELPH), but that service did not call at Mexican ports.

I doubt whether SEGURA and SABOR would be easily distinguishable.