Tho I expect, with the heat where you are at right now, and with Lulus bassety level of energy, I suspect, she proves her Frenchiness, by lounging out on the French Provincial Couch, as Bill says...
I do suspect she loves her brother, Happy, very much...she wants to be near him at all times...
When I had Helga, and my other two dogs, all together at the same time when they were young, the three of them always acted as one unit...they slept together, ate together, went out and came in together, got their doggie treats together...they just loved one another...
Sheeba was the first one to die...then a 6 months later her son, Bully died...Helga lived for another year and a half tho, but you could tell she missed her 'doggie brother and sister'....
Well, good nite all, see ya all tomorrow...everyone sleep tight...